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Finding the Third Proportional to 132,469.50 and 286,066.50

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Solution

The third proportional to 132,469.50 and 286,066.50 is: 617,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,469.50 : 286,066.50 = 286,066.50 : x
  2. Step 2: Convert to fraction form
    132,469.50/286,066.50 = 286,066.50/x
  3. Step 3: Cross multiply
    132,469.50x = 286,066.50 × 286,066.50
  4. Step 4: Simplify right side
    132,469.50x = 81,834,042,422.25
  5. Step 5: Solve for x
    x = 81,834,042,422.25/132,469.50
  6. Step 6: Final answer
    x = 617,757.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.