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Finding the Third Proportional to 316,146.38 and 474,231.38

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Solution

The third proportional to 316,146.38 and 474,231.38 is: 711,364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,146.38 : 474,231.38 = 474,231.38 : x
  2. Step 2: Convert to fraction form
    316,146.38/474,231.38 = 474,231.38/x
  3. Step 3: Cross multiply
    316,146.38x = 474,231.38 × 474,231.38
  4. Step 4: Simplify right side
    316,146.38x = 224,895,397,034.39
  5. Step 5: Solve for x
    x = 224,895,397,034.39/316,146.38
  6. Step 6: Final answer
    x = 711,364.78

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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.