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Finding the Third Proportional to 176,350 and 252,079

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Solution

The third proportional to 176,350 and 252,079 is: 360,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,350 : 252,079 = 252,079 : x
  2. Step 2: Convert to fraction form
    176,350/252,079 = 252,079/x
  3. Step 3: Cross multiply
    176,350x = 252,079 × 252,079
  4. Step 4: Simplify right side
    176,350x = 63,543,822,241
  5. Step 5: Solve for x
    x = 63,543,822,241/176,350
  6. Step 6: Final answer
    x = 360,327.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.