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Finding the Third Proportional to 137,524.71 and 291,605.70

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Solution

The third proportional to 137,524.71 and 291,605.70 is: 618,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,524.71 : 291,605.70 = 291,605.70 : x
  2. Step 2: Convert to fraction form
    137,524.71/291,605.70 = 291,605.70/x
  3. Step 3: Cross multiply
    137,524.71x = 291,605.70 × 291,605.70
  4. Step 4: Simplify right side
    137,524.71x = 85,033,881,538.69
  5. Step 5: Solve for x
    x = 85,033,881,538.69/137,524.71
  6. Step 6: Final answer
    x = 618,317.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.