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Finding the Third Proportional to 169,291 and 224,730

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Solution

The third proportional to 169,291 and 224,730 is: 298,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,291 : 224,730 = 224,730 : x
  2. Step 2: Convert to fraction form
    169,291/224,730 = 224,730/x
  3. Step 3: Cross multiply
    169,291x = 224,730 × 224,730
  4. Step 4: Simplify right side
    169,291x = 50,503,572,900
  5. Step 5: Solve for x
    x = 50,503,572,900/169,291
  6. Step 6: Final answer
    x = 298,324.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.