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Finding the Third Proportional to 119,882 and 243,308

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Solution

The third proportional to 119,882 and 243,308 is: 493,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,882 : 243,308 = 243,308 : x
  2. Step 2: Convert to fraction form
    119,882/243,308 = 243,308/x
  3. Step 3: Cross multiply
    119,882x = 243,308 × 243,308
  4. Step 4: Simplify right side
    119,882x = 59,198,782,864
  5. Step 5: Solve for x
    x = 59,198,782,864/119,882
  6. Step 6: Final answer
    x = 493,808.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.