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Finding the Third Proportional to 140,338.13 and 214,717.13

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Solution

The third proportional to 140,338.13 and 214,717.13 is: 328,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,338.13 : 214,717.13 = 214,717.13 : x
  2. Step 2: Convert to fraction form
    140,338.13/214,717.13 = 214,717.13/x
  3. Step 3: Cross multiply
    140,338.13x = 214,717.13 × 214,717.13
  4. Step 4: Simplify right side
    140,338.13x = 46,103,443,768.27
  5. Step 5: Solve for x
    x = 46,103,443,768.27/140,338.13
  6. Step 6: Final answer
    x = 328,516.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.