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Finding the Third Proportional to 118,200.50 and 176,882.50

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Solution

The third proportional to 118,200.50 and 176,882.50 is: 264,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,200.50 : 176,882.50 = 176,882.50 : x
  2. Step 2: Convert to fraction form
    118,200.50/176,882.50 = 176,882.50/x
  3. Step 3: Cross multiply
    118,200.50x = 176,882.50 × 176,882.50
  4. Step 4: Simplify right side
    118,200.50x = 31,287,418,806.25
  5. Step 5: Solve for x
    x = 31,287,418,806.25/118,200.50
  6. Step 6: Final answer
    x = 264,697.85

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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.