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Finding the Third Proportional to 131,016.19 and 207,792.38

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Solution

The third proportional to 131,016.19 and 207,792.38 is: 329,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,016.19 : 207,792.38 = 207,792.38 : x
  2. Step 2: Convert to fraction form
    131,016.19/207,792.38 = 207,792.38/x
  3. Step 3: Cross multiply
    131,016.19x = 207,792.38 × 207,792.38
  4. Step 4: Simplify right side
    131,016.19x = 43,177,671,108.14
  5. Step 5: Solve for x
    x = 43,177,671,108.14/131,016.19
  6. Step 6: Final answer
    x = 329,559.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.