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Finding the Third Proportional to 229,208 and 354,180

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Solution

The third proportional to 229,208 and 354,180 is: 547,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,208 : 354,180 = 354,180 : x
  2. Step 2: Convert to fraction form
    229,208/354,180 = 354,180/x
  3. Step 3: Cross multiply
    229,208x = 354,180 × 354,180
  4. Step 4: Simplify right side
    229,208x = 125,443,472,400
  5. Step 5: Solve for x
    x = 125,443,472,400/229,208
  6. Step 6: Final answer
    x = 547,290.99

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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.