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Finding the Third Proportional to 135,961.25 and 291,605.50

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Solution

The third proportional to 135,961.25 and 291,605.50 is: 625,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,961.25 : 291,605.50 = 291,605.50 : x
  2. Step 2: Convert to fraction form
    135,961.25/291,605.50 = 291,605.50/x
  3. Step 3: Cross multiply
    135,961.25x = 291,605.50 × 291,605.50
  4. Step 4: Simplify right side
    135,961.25x = 85,033,767,630.25
  5. Step 5: Solve for x
    x = 85,033,767,630.25/135,961.25
  6. Step 6: Final answer
    x = 625,426.49

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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.