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Finding the Third Proportional to 228,166 and 354,694

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Solution

The third proportional to 228,166 and 354,694 is: 551,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,166 : 354,694 = 354,694 : x
  2. Step 2: Convert to fraction form
    228,166/354,694 = 354,694/x
  3. Step 3: Cross multiply
    228,166x = 354,694 × 354,694
  4. Step 4: Simplify right side
    228,166x = 125,807,833,636
  5. Step 5: Solve for x
    x = 125,807,833,636/228,166
  6. Step 6: Final answer
    x = 551,387.30

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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.