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Finding the Third Proportional to 175,839 and 385,374

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Solution

The third proportional to 175,839 and 385,374 is: 844,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,839 : 385,374 = 385,374 : x
  2. Step 2: Convert to fraction form
    175,839/385,374 = 385,374/x
  3. Step 3: Cross multiply
    175,839x = 385,374 × 385,374
  4. Step 4: Simplify right side
    175,839x = 148,513,119,876
  5. Step 5: Solve for x
    x = 148,513,119,876/175,839
  6. Step 6: Final answer
    x = 844,597.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.