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Finding the Third Proportional to 107,282 and 228,424

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Solution

The third proportional to 107,282 and 228,424 is: 486,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,282 : 228,424 = 228,424 : x
  2. Step 2: Convert to fraction form
    107,282/228,424 = 228,424/x
  3. Step 3: Cross multiply
    107,282x = 228,424 × 228,424
  4. Step 4: Simplify right side
    107,282x = 52,177,523,776
  5. Step 5: Solve for x
    x = 52,177,523,776/107,282
  6. Step 6: Final answer
    x = 486,358.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.