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Finding the Third Proportional to 135,651.75 and 286,528.13

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Solution

The third proportional to 135,651.75 and 286,528.13 is: 605,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,651.75 : 286,528.13 = 286,528.13 : x
  2. Step 2: Convert to fraction form
    135,651.75/286,528.13 = 286,528.13/x
  3. Step 3: Cross multiply
    135,651.75x = 286,528.13 × 286,528.13
  4. Step 4: Simplify right side
    135,651.75x = 82,098,366,416.02
  5. Step 5: Solve for x
    x = 82,098,366,416.02/135,651.75
  6. Step 6: Final answer
    x = 605,214.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.