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Finding the Third Proportional to 193,854.38 and 418,843.13

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Solution

The third proportional to 193,854.38 and 418,843.13 is: 904,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,854.38 : 418,843.13 = 418,843.13 : x
  2. Step 2: Convert to fraction form
    193,854.38/418,843.13 = 418,843.13/x
  3. Step 3: Cross multiply
    193,854.38x = 418,843.13 × 418,843.13
  4. Step 4: Simplify right side
    193,854.38x = 175,429,563,359.77
  5. Step 5: Solve for x
    x = 175,429,563,359.77/193,854.38
  6. Step 6: Final answer
    x = 904,955.40

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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.