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Finding the Third Proportional to 137,774 and 297,580

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Solution

The third proportional to 137,774 and 297,580 is: 642,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,774 : 297,580 = 297,580 : x
  2. Step 2: Convert to fraction form
    137,774/297,580 = 297,580/x
  3. Step 3: Cross multiply
    137,774x = 297,580 × 297,580
  4. Step 4: Simplify right side
    137,774x = 88,553,856,400
  5. Step 5: Solve for x
    x = 88,553,856,400/137,774
  6. Step 6: Final answer
    x = 642,747.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.