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Finding the Third Proportional to 176,200.88 and 266,761.13

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Solution

The third proportional to 176,200.88 and 266,761.13 is: 403,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,200.88 : 266,761.13 = 266,761.13 : x
  2. Step 2: Convert to fraction form
    176,200.88/266,761.13 = 266,761.13/x
  3. Step 3: Cross multiply
    176,200.88x = 266,761.13 × 266,761.13
  4. Step 4: Simplify right side
    176,200.88x = 71,161,497,811.27
  5. Step 5: Solve for x
    x = 71,161,497,811.27/176,200.88
  6. Step 6: Final answer
    x = 403,865.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.