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Finding the Third Proportional to 137,244.38 and 291,984.75

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Solution

The third proportional to 137,244.38 and 291,984.75 is: 621,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,244.38 : 291,984.75 = 291,984.75 : x
  2. Step 2: Convert to fraction form
    137,244.38/291,984.75 = 291,984.75/x
  3. Step 3: Cross multiply
    137,244.38x = 291,984.75 × 291,984.75
  4. Step 4: Simplify right side
    137,244.38x = 85,255,094,232.56
  5. Step 5: Solve for x
    x = 85,255,094,232.56/137,244.38
  6. Step 6: Final answer
    x = 621,191.90

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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.