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Finding the Third Proportional to 134,475 and 292,607

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Solution

The third proportional to 134,475 and 292,607 is: 636,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,475 : 292,607 = 292,607 : x
  2. Step 2: Convert to fraction form
    134,475/292,607 = 292,607/x
  3. Step 3: Cross multiply
    134,475x = 292,607 × 292,607
  4. Step 4: Simplify right side
    134,475x = 85,618,856,449
  5. Step 5: Solve for x
    x = 85,618,856,449/134,475
  6. Step 6: Final answer
    x = 636,689.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.