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Finding the Third Proportional to 175,062.38 and 247,729.50

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Solution

The third proportional to 175,062.38 and 247,729.50 is: 350,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,062.38 : 247,729.50 = 247,729.50 : x
  2. Step 2: Convert to fraction form
    175,062.38/247,729.50 = 247,729.50/x
  3. Step 3: Cross multiply
    175,062.38x = 247,729.50 × 247,729.50
  4. Step 4: Simplify right side
    175,062.38x = 61,369,905,170.25
  5. Step 5: Solve for x
    x = 61,369,905,170.25/175,062.38
  6. Step 6: Final answer
    x = 350,560.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.