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Finding the Third Proportional to 316,147 and 474,225

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Solution

The third proportional to 316,147 and 474,225 is: 711,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,147 : 474,225 = 474,225 : x
  2. Step 2: Convert to fraction form
    316,147/474,225 = 474,225/x
  3. Step 3: Cross multiply
    316,147x = 474,225 × 474,225
  4. Step 4: Simplify right side
    316,147x = 224,889,350,625
  5. Step 5: Solve for x
    x = 224,889,350,625/316,147
  6. Step 6: Final answer
    x = 711,344.25

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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.