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Finding the Third Proportional to 110,711.25 and 176,248.50

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Solution

The third proportional to 110,711.25 and 176,248.50 is: 280,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,711.25 : 176,248.50 = 176,248.50 : x
  2. Step 2: Convert to fraction form
    110,711.25/176,248.50 = 176,248.50/x
  3. Step 3: Cross multiply
    110,711.25x = 176,248.50 × 176,248.50
  4. Step 4: Simplify right side
    110,711.25x = 31,063,533,752.25
  5. Step 5: Solve for x
    x = 31,063,533,752.25/110,711.25
  6. Step 6: Final answer
    x = 280,581.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.