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Finding the Third Proportional to 169,744.78 and 353,431.69

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Solution

The third proportional to 169,744.78 and 353,431.69 is: 735,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,744.78 : 353,431.69 = 353,431.69 : x
  2. Step 2: Convert to fraction form
    169,744.78/353,431.69 = 353,431.69/x
  3. Step 3: Cross multiply
    169,744.78x = 353,431.69 × 353,431.69
  4. Step 4: Simplify right side
    169,744.78x = 124,913,957,729.10
  5. Step 5: Solve for x
    x = 124,913,957,729.10/169,744.78
  6. Step 6: Final answer
    x = 735,892.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.