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Finding the Third Proportional to 137,367 and 285,257.25

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Solution

The third proportional to 137,367 and 285,257.25 is: 592,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,367 : 285,257.25 = 285,257.25 : x
  2. Step 2: Convert to fraction form
    137,367/285,257.25 = 285,257.25/x
  3. Step 3: Cross multiply
    137,367x = 285,257.25 × 285,257.25
  4. Step 4: Simplify right side
    137,367x = 81,371,698,677.56
  5. Step 5: Solve for x
    x = 81,371,698,677.56/137,367
  6. Step 6: Final answer
    x = 592,367.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.