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Finding the Third Proportional to 161,924 and 226,436

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Solution

The third proportional to 161,924 and 226,436 is: 316,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,924 : 226,436 = 226,436 : x
  2. Step 2: Convert to fraction form
    161,924/226,436 = 226,436/x
  3. Step 3: Cross multiply
    161,924x = 226,436 × 226,436
  4. Step 4: Simplify right side
    161,924x = 51,273,262,096
  5. Step 5: Solve for x
    x = 51,273,262,096/161,924
  6. Step 6: Final answer
    x = 316,650.17

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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.