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Finding the Third Proportional to 141,540 and 217,224

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Solution

The third proportional to 141,540 and 217,224 is: 333,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,540 : 217,224 = 217,224 : x
  2. Step 2: Convert to fraction form
    141,540/217,224 = 217,224/x
  3. Step 3: Cross multiply
    141,540x = 217,224 × 217,224
  4. Step 4: Simplify right side
    141,540x = 47,186,266,176
  5. Step 5: Solve for x
    x = 47,186,266,176/141,540
  6. Step 6: Final answer
    x = 333,377.60

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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.