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Finding the Third Proportional to 137,926.13 and 297,624.38

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Solution

The third proportional to 137,926.13 and 297,624.38 is: 642,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,926.13 : 297,624.38 = 297,624.38 : x
  2. Step 2: Convert to fraction form
    137,926.13/297,624.38 = 297,624.38/x
  3. Step 3: Cross multiply
    137,926.13x = 297,624.38 × 297,624.38
  4. Step 4: Simplify right side
    137,926.13x = 88,580,268,594.14
  5. Step 5: Solve for x
    x = 88,580,268,594.14/137,926.13
  6. Step 6: Final answer
    x = 642,229.81

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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.