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Finding the Third Proportional to 142,232 and 305,551

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Solution

The third proportional to 142,232 and 305,551 is: 656,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,232 : 305,551 = 305,551 : x
  2. Step 2: Convert to fraction form
    142,232/305,551 = 305,551/x
  3. Step 3: Cross multiply
    142,232x = 305,551 × 305,551
  4. Step 4: Simplify right side
    142,232x = 93,361,413,601
  5. Step 5: Solve for x
    x = 93,361,413,601/142,232
  6. Step 6: Final answer
    x = 656,402.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.