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Finding the Third Proportional to 169,780.50 and 229,758.38

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Solution

The third proportional to 169,780.50 and 229,758.38 is: 310,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,780.50 : 229,758.38 = 229,758.38 : x
  2. Step 2: Convert to fraction form
    169,780.50/229,758.38 = 229,758.38/x
  3. Step 3: Cross multiply
    169,780.50x = 229,758.38 × 229,758.38
  4. Step 4: Simplify right side
    169,780.50x = 52,788,910,882.64
  5. Step 5: Solve for x
    x = 52,788,910,882.64/169,780.50
  6. Step 6: Final answer
    x = 310,924.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.