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Finding the Third Proportional to 252,691.31 and 336,390.47

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Solution

The third proportional to 252,691.31 and 336,390.47 is: 447,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,691.31 : 336,390.47 = 336,390.47 : x
  2. Step 2: Convert to fraction form
    252,691.31/336,390.47 = 336,390.47/x
  3. Step 3: Cross multiply
    252,691.31x = 336,390.47 × 336,390.47
  4. Step 4: Simplify right side
    252,691.31x = 113,158,547,465.85
  5. Step 5: Solve for x
    x = 113,158,547,465.85/252,691.31
  6. Step 6: Final answer
    x = 447,813.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.