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Finding the Third Proportional to 146,142.50 and 232,721.75

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Solution

The third proportional to 146,142.50 and 232,721.75 is: 370,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142.50 : 232,721.75 = 232,721.75 : x
  2. Step 2: Convert to fraction form
    146,142.50/232,721.75 = 232,721.75/x
  3. Step 3: Cross multiply
    146,142.50x = 232,721.75 × 232,721.75
  4. Step 4: Simplify right side
    146,142.50x = 54,159,412,923.06
  5. Step 5: Solve for x
    x = 54,159,412,923.06/146,142.50
  6. Step 6: Final answer
    x = 370,593.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.