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Finding the Third Proportional to 142,032 and 310,792

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Solution

The third proportional to 142,032 and 310,792 is: 680,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,032 : 310,792 = 310,792 : x
  2. Step 2: Convert to fraction form
    142,032/310,792 = 310,792/x
  3. Step 3: Cross multiply
    142,032x = 310,792 × 310,792
  4. Step 4: Simplify right side
    142,032x = 96,591,667,264
  5. Step 5: Solve for x
    x = 96,591,667,264/142,032
  6. Step 6: Final answer
    x = 680,069.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.