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Finding the Third Proportional to 175,854 and 385,398

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Solution

The third proportional to 175,854 and 385,398 is: 844,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,854 : 385,398 = 385,398 : x
  2. Step 2: Convert to fraction form
    175,854/385,398 = 385,398/x
  3. Step 3: Cross multiply
    175,854x = 385,398 × 385,398
  4. Step 4: Simplify right side
    175,854x = 148,531,618,404
  5. Step 5: Solve for x
    x = 148,531,618,404/175,854
  6. Step 6: Final answer
    x = 844,630.31

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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.