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Finding the Third Proportional to 131,049.14 and 286,629.89

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Solution

The third proportional to 131,049.14 and 286,629.89 is: 626,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,049.14 : 286,629.89 = 286,629.89 : x
  2. Step 2: Convert to fraction form
    131,049.14/286,629.89 = 286,629.89/x
  3. Step 3: Cross multiply
    131,049.14x = 286,629.89 × 286,629.89
  4. Step 4: Simplify right side
    131,049.14x = 82,156,694,199.70
  5. Step 5: Solve for x
    x = 82,156,694,199.70/131,049.14
  6. Step 6: Final answer
    x = 626,915.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.