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Finding the Third Proportional to 207,902 and 316,227

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Solution

The third proportional to 207,902 and 316,227 is: 480,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,902 : 316,227 = 316,227 : x
  2. Step 2: Convert to fraction form
    207,902/316,227 = 316,227/x
  3. Step 3: Cross multiply
    207,902x = 316,227 × 316,227
  4. Step 4: Simplify right side
    207,902x = 99,999,515,529
  5. Step 5: Solve for x
    x = 99,999,515,529/207,902
  6. Step 6: Final answer
    x = 480,993.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.