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Finding the Third Proportional to 141,306.19 and 307,155.38

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Solution

The third proportional to 141,306.19 and 307,155.38 is: 667,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,306.19 : 307,155.38 = 307,155.38 : x
  2. Step 2: Convert to fraction form
    141,306.19/307,155.38 = 307,155.38/x
  3. Step 3: Cross multiply
    141,306.19x = 307,155.38 × 307,155.38
  4. Step 4: Simplify right side
    141,306.19x = 94,344,424,391.39
  5. Step 5: Solve for x
    x = 94,344,424,391.39/141,306.19
  6. Step 6: Final answer
    x = 667,659.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.