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Finding the Third Proportional to 135,967.50 and 291,617

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Solution

The third proportional to 135,967.50 and 291,617 is: 625,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,967.50 : 291,617 = 291,617 : x
  2. Step 2: Convert to fraction form
    135,967.50/291,617 = 291,617/x
  3. Step 3: Cross multiply
    135,967.50x = 291,617 × 291,617
  4. Step 4: Simplify right side
    135,967.50x = 85,040,474,689
  5. Step 5: Solve for x
    x = 85,040,474,689/135,967.50
  6. Step 6: Final answer
    x = 625,447.07

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Why These Related Problems?

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