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Finding the Third Proportional to 131,344.13 and 208,012.13

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Solution

The third proportional to 131,344.13 and 208,012.13 is: 329,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,344.13 : 208,012.13 = 208,012.13 : x
  2. Step 2: Convert to fraction form
    131,344.13/208,012.13 = 208,012.13/x
  3. Step 3: Cross multiply
    131,344.13x = 208,012.13 × 208,012.13
  4. Step 4: Simplify right side
    131,344.13x = 43,269,044,147.02
  5. Step 5: Solve for x
    x = 43,269,044,147.02/131,344.13
  6. Step 6: Final answer
    x = 329,432.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.