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Finding the Third Proportional to 226,400 and 306,374

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Solution

The third proportional to 226,400 and 306,374 is: 414,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,400 : 306,374 = 306,374 : x
  2. Step 2: Convert to fraction form
    226,400/306,374 = 306,374/x
  3. Step 3: Cross multiply
    226,400x = 306,374 × 306,374
  4. Step 4: Simplify right side
    226,400x = 93,865,027,876
  5. Step 5: Solve for x
    x = 93,865,027,876/226,400
  6. Step 6: Final answer
    x = 414,598.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.