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Finding the Third Proportional to 141,632 and 217,400

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Solution

The third proportional to 141,632 and 217,400 is: 333,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,632 : 217,400 = 217,400 : x
  2. Step 2: Convert to fraction form
    141,632/217,400 = 217,400/x
  3. Step 3: Cross multiply
    141,632x = 217,400 × 217,400
  4. Step 4: Simplify right side
    141,632x = 47,262,760,000
  5. Step 5: Solve for x
    x = 47,262,760,000/141,632
  6. Step 6: Final answer
    x = 333,701.14

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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.