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Finding the Third Proportional to 115,690.50 and 240,615

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Solution

The third proportional to 115,690.50 and 240,615 is: 500,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,690.50 : 240,615 = 240,615 : x
  2. Step 2: Convert to fraction form
    115,690.50/240,615 = 240,615/x
  3. Step 3: Cross multiply
    115,690.50x = 240,615 × 240,615
  4. Step 4: Simplify right side
    115,690.50x = 57,895,578,225
  5. Step 5: Solve for x
    x = 57,895,578,225/115,690.50
  6. Step 6: Final answer
    x = 500,435.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.