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Finding the Third Proportional to 169,154 and 252,897

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Solution

The third proportional to 169,154 and 252,897 is: 378,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,154 : 252,897 = 252,897 : x
  2. Step 2: Convert to fraction form
    169,154/252,897 = 252,897/x
  3. Step 3: Cross multiply
    169,154x = 252,897 × 252,897
  4. Step 4: Simplify right side
    169,154x = 63,956,892,609
  5. Step 5: Solve for x
    x = 63,956,892,609/169,154
  6. Step 6: Final answer
    x = 378,098.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.