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Finding the Third Proportional to 137,614.13 and 284,667

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Solution

The third proportional to 137,614.13 and 284,667 is: 588,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,614.13 : 284,667 = 284,667 : x
  2. Step 2: Convert to fraction form
    137,614.13/284,667 = 284,667/x
  3. Step 3: Cross multiply
    137,614.13x = 284,667 × 284,667
  4. Step 4: Simplify right side
    137,614.13x = 81,035,300,889
  5. Step 5: Solve for x
    x = 81,035,300,889/137,614.13
  6. Step 6: Final answer
    x = 588,858.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.