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Finding the Third Proportional to 135,601.50 and 291,610.50

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Solution

The third proportional to 135,601.50 and 291,610.50 is: 627,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,601.50 : 291,610.50 = 291,610.50 : x
  2. Step 2: Convert to fraction form
    135,601.50/291,610.50 = 291,610.50/x
  3. Step 3: Cross multiply
    135,601.50x = 291,610.50 × 291,610.50
  4. Step 4: Simplify right side
    135,601.50x = 85,036,683,710.25
  5. Step 5: Solve for x
    x = 85,036,683,710.25/135,601.50
  6. Step 6: Final answer
    x = 627,107.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.