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Finding the Third Proportional to 137,098 and 291,656

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Solution

The third proportional to 137,098 and 291,656 is: 620,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,098 : 291,656 = 291,656 : x
  2. Step 2: Convert to fraction form
    137,098/291,656 = 291,656/x
  3. Step 3: Cross multiply
    137,098x = 291,656 × 291,656
  4. Step 4: Simplify right side
    137,098x = 85,063,222,336
  5. Step 5: Solve for x
    x = 85,063,222,336/137,098
  6. Step 6: Final answer
    x = 620,455.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.