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Finding the Third Proportional to 165,003.75 and 247,870.13

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Solution

The third proportional to 165,003.75 and 247,870.13 is: 372,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,003.75 : 247,870.13 = 247,870.13 : x
  2. Step 2: Convert to fraction form
    165,003.75/247,870.13 = 247,870.13/x
  3. Step 3: Cross multiply
    165,003.75x = 247,870.13 × 247,870.13
  4. Step 4: Simplify right side
    165,003.75x = 61,439,598,867.52
  5. Step 5: Solve for x
    x = 61,439,598,867.52/165,003.75
  6. Step 6: Final answer
    x = 372,352.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.