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Finding the Third Proportional to 151,793 and 226,458

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Solution

The third proportional to 151,793 and 226,458 is: 337,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,793 : 226,458 = 226,458 : x
  2. Step 2: Convert to fraction form
    151,793/226,458 = 226,458/x
  3. Step 3: Cross multiply
    151,793x = 226,458 × 226,458
  4. Step 4: Simplify right side
    151,793x = 51,283,225,764
  5. Step 5: Solve for x
    x = 51,283,225,764/151,793
  6. Step 6: Final answer
    x = 337,849.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.