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Finding the Third Proportional to 132,453.56 and 283,587.75

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Solution

The third proportional to 132,453.56 and 283,587.75 is: 607,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,453.56 : 283,587.75 = 283,587.75 : x
  2. Step 2: Convert to fraction form
    132,453.56/283,587.75 = 283,587.75/x
  3. Step 3: Cross multiply
    132,453.56x = 283,587.75 × 283,587.75
  4. Step 4: Simplify right side
    132,453.56x = 80,422,011,950.06
  5. Step 5: Solve for x
    x = 80,422,011,950.06/132,453.56
  6. Step 6: Final answer
    x = 607,171.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.