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Finding the Third Proportional to 141,543 and 217,229

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Solution

The third proportional to 141,543 and 217,229 is: 333,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,543 : 217,229 = 217,229 : x
  2. Step 2: Convert to fraction form
    141,543/217,229 = 217,229/x
  3. Step 3: Cross multiply
    141,543x = 217,229 × 217,229
  4. Step 4: Simplify right side
    141,543x = 47,188,438,441
  5. Step 5: Solve for x
    x = 47,188,438,441/141,543
  6. Step 6: Final answer
    x = 333,385.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.