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Finding the Third Proportional to 228,272 and 354,850

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Solution

The third proportional to 228,272 and 354,850 is: 551,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,272 : 354,850 = 354,850 : x
  2. Step 2: Convert to fraction form
    228,272/354,850 = 354,850/x
  3. Step 3: Cross multiply
    228,272x = 354,850 × 354,850
  4. Step 4: Simplify right side
    228,272x = 125,918,522,500
  5. Step 5: Solve for x
    x = 125,918,522,500/228,272
  6. Step 6: Final answer
    x = 551,616.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.