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Finding the Third Proportional to 177,885 and 385,294.50

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Solution

The third proportional to 177,885 and 385,294.50 is: 834,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,885 : 385,294.50 = 385,294.50 : x
  2. Step 2: Convert to fraction form
    177,885/385,294.50 = 385,294.50/x
  3. Step 3: Cross multiply
    177,885x = 385,294.50 × 385,294.50
  4. Step 4: Simplify right side
    177,885x = 148,451,851,730.25
  5. Step 5: Solve for x
    x = 148,451,851,730.25/177,885
  6. Step 6: Final answer
    x = 834,538.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.