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Finding the Third Proportional to 193,686.29 and 418,494.62

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Solution

The third proportional to 193,686.29 and 418,494.62 is: 904,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,686.29 : 418,494.62 = 418,494.62 : x
  2. Step 2: Convert to fraction form
    193,686.29/418,494.62 = 418,494.62/x
  3. Step 3: Cross multiply
    193,686.29x = 418,494.62 × 418,494.62
  4. Step 4: Simplify right side
    193,686.29x = 175,137,747,884.40
  5. Step 5: Solve for x
    x = 175,137,747,884.40/193,686.29
  6. Step 6: Final answer
    x = 904,234.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.