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Finding the Third Proportional to 132,606 and 286,395.75

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Solution

The third proportional to 132,606 and 286,395.75 is: 618,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,606 : 286,395.75 = 286,395.75 : x
  2. Step 2: Convert to fraction form
    132,606/286,395.75 = 286,395.75/x
  3. Step 3: Cross multiply
    132,606x = 286,395.75 × 286,395.75
  4. Step 4: Simplify right side
    132,606x = 82,022,525,618.06
  5. Step 5: Solve for x
    x = 82,022,525,618.06/132,606
  6. Step 6: Final answer
    x = 618,543.09

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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.