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Finding the Third Proportional to 162,938 and 227,630

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Solution

The third proportional to 162,938 and 227,630 is: 318,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,938 : 227,630 = 227,630 : x
  2. Step 2: Convert to fraction form
    162,938/227,630 = 227,630/x
  3. Step 3: Cross multiply
    162,938x = 227,630 × 227,630
  4. Step 4: Simplify right side
    162,938x = 51,815,416,900
  5. Step 5: Solve for x
    x = 51,815,416,900/162,938
  6. Step 6: Final answer
    x = 318,006.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.