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Finding the Third Proportional to 142,849 and 305,374

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Solution

The third proportional to 142,849 and 305,374 is: 652,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,849 : 305,374 = 305,374 : x
  2. Step 2: Convert to fraction form
    142,849/305,374 = 305,374/x
  3. Step 3: Cross multiply
    142,849x = 305,374 × 305,374
  4. Step 4: Simplify right side
    142,849x = 93,253,279,876
  5. Step 5: Solve for x
    x = 93,253,279,876/142,849
  6. Step 6: Final answer
    x = 652,810.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.