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Finding the Third Proportional to 141,744 and 217,584

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Solution

The third proportional to 141,744 and 217,584 is: 334,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,744 : 217,584 = 217,584 : x
  2. Step 2: Convert to fraction form
    141,744/217,584 = 217,584/x
  3. Step 3: Cross multiply
    141,744x = 217,584 × 217,584
  4. Step 4: Simplify right side
    141,744x = 47,342,797,056
  5. Step 5: Solve for x
    x = 47,342,797,056/141,744
  6. Step 6: Final answer
    x = 334,002.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.