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Finding the Third Proportional to 141,010 and 218,449

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Solution

The third proportional to 141,010 and 218,449 is: 338,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,010 : 218,449 = 218,449 : x
  2. Step 2: Convert to fraction form
    141,010/218,449 = 218,449/x
  3. Step 3: Cross multiply
    141,010x = 218,449 × 218,449
  4. Step 4: Simplify right side
    141,010x = 47,719,965,601
  5. Step 5: Solve for x
    x = 47,719,965,601/141,010
  6. Step 6: Final answer
    x = 338,415.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.