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Finding the Third Proportional to 146,118.94 and 232,710.47

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Solution

The third proportional to 146,118.94 and 232,710.47 is: 370,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,118.94 : 232,710.47 = 232,710.47 : x
  2. Step 2: Convert to fraction form
    146,118.94/232,710.47 = 232,710.47/x
  3. Step 3: Cross multiply
    146,118.94x = 232,710.47 × 232,710.47
  4. Step 4: Simplify right side
    146,118.94x = 54,154,162,265.84
  5. Step 5: Solve for x
    x = 54,154,162,265.84/146,118.94
  6. Step 6: Final answer
    x = 370,617.00

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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.