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Finding the Third Proportional to 119,229 and 243,924

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Solution

The third proportional to 119,229 and 243,924 is: 499,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,229 : 243,924 = 243,924 : x
  2. Step 2: Convert to fraction form
    119,229/243,924 = 243,924/x
  3. Step 3: Cross multiply
    119,229x = 243,924 × 243,924
  4. Step 4: Simplify right side
    119,229x = 59,498,917,776
  5. Step 5: Solve for x
    x = 59,498,917,776/119,229
  6. Step 6: Final answer
    x = 499,030.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.