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Finding the Third Proportional to 78,177.38 and 152,466.75

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Solution

The third proportional to 78,177.38 and 152,466.75 is: 297,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.38 : 152,466.75 = 152,466.75 : x
  2. Step 2: Convert to fraction form
    78,177.38/152,466.75 = 152,466.75/x
  3. Step 3: Cross multiply
    78,177.38x = 152,466.75 × 152,466.75
  4. Step 4: Simplify right side
    78,177.38x = 23,246,109,855.56
  5. Step 5: Solve for x
    x = 23,246,109,855.56/78,177.38
  6. Step 6: Final answer
    x = 297,350.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.