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Finding the Third Proportional to 134,708 and 292,712

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Solution

The third proportional to 134,708 and 292,712 is: 636,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,708 : 292,712 = 292,712 : x
  2. Step 2: Convert to fraction form
    134,708/292,712 = 292,712/x
  3. Step 3: Cross multiply
    134,708x = 292,712 × 292,712
  4. Step 4: Simplify right side
    134,708x = 85,680,314,944
  5. Step 5: Solve for x
    x = 85,680,314,944/134,708
  6. Step 6: Final answer
    x = 636,044.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.