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Finding the Third Proportional to 131,204.25 and 286,149.38

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Solution

The third proportional to 131,204.25 and 286,149.38 is: 624,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,204.25 : 286,149.38 = 286,149.38 : x
  2. Step 2: Convert to fraction form
    131,204.25/286,149.38 = 286,149.38/x
  3. Step 3: Cross multiply
    131,204.25x = 286,149.38 × 286,149.38
  4. Step 4: Simplify right side
    131,204.25x = 81,881,464,812.89
  5. Step 5: Solve for x
    x = 81,881,464,812.89/131,204.25
  6. Step 6: Final answer
    x = 624,076.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.