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Finding the Third Proportional to 141,550 and 217,239

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Solution

The third proportional to 141,550 and 217,239 is: 333,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,550 : 217,239 = 217,239 : x
  2. Step 2: Convert to fraction form
    141,550/217,239 = 217,239/x
  3. Step 3: Cross multiply
    141,550x = 217,239 × 217,239
  4. Step 4: Simplify right side
    141,550x = 47,192,783,121
  5. Step 5: Solve for x
    x = 47,192,783,121/141,550
  6. Step 6: Final answer
    x = 333,400.09

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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.