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Finding the Third Proportional to 169,228 and 368,814

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Solution

The third proportional to 169,228 and 368,814 is: 803,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,228 : 368,814 = 368,814 : x
  2. Step 2: Convert to fraction form
    169,228/368,814 = 368,814/x
  3. Step 3: Cross multiply
    169,228x = 368,814 × 368,814
  4. Step 4: Simplify right side
    169,228x = 136,023,766,596
  5. Step 5: Solve for x
    x = 136,023,766,596/169,228
  6. Step 6: Final answer
    x = 803,789.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.