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Finding the Third Proportional to 156,792 and 332,952

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Solution

The third proportional to 156,792 and 332,952 is: 707,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,792 : 332,952 = 332,952 : x
  2. Step 2: Convert to fraction form
    156,792/332,952 = 332,952/x
  3. Step 3: Cross multiply
    156,792x = 332,952 × 332,952
  4. Step 4: Simplify right side
    156,792x = 110,857,034,304
  5. Step 5: Solve for x
    x = 110,857,034,304/156,792
  6. Step 6: Final answer
    x = 707,032.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.