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Finding the Third Proportional to 175,177.69 and 274,442.13

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Solution

The third proportional to 175,177.69 and 274,442.13 is: 429,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,177.69 : 274,442.13 = 274,442.13 : x
  2. Step 2: Convert to fraction form
    175,177.69/274,442.13 = 274,442.13/x
  3. Step 3: Cross multiply
    175,177.69x = 274,442.13 × 274,442.13
  4. Step 4: Simplify right side
    175,177.69x = 75,318,484,262.67
  5. Step 5: Solve for x
    x = 75,318,484,262.67/175,177.69
  6. Step 6: Final answer
    x = 429,954.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.