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Finding the Third Proportional to 146,225.25 and 232,645.50

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Solution

The third proportional to 146,225.25 and 232,645.50 is: 370,140.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,225.25 : 232,645.50 = 232,645.50 : x
  2. Step 2: Convert to fraction form
    146,225.25/232,645.50 = 232,645.50/x
  3. Step 3: Cross multiply
    146,225.25x = 232,645.50 × 232,645.50
  4. Step 4: Simplify right side
    146,225.25x = 54,123,928,670.25
  5. Step 5: Solve for x
    x = 54,123,928,670.25/146,225.25
  6. Step 6: Final answer
    x = 370,140.78

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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.