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Finding the Third Proportional to 174,782.25 and 262,082.25

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Solution

The third proportional to 174,782.25 and 262,082.25 is: 392,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,782.25 : 262,082.25 = 262,082.25 : x
  2. Step 2: Convert to fraction form
    174,782.25/262,082.25 = 262,082.25/x
  3. Step 3: Cross multiply
    174,782.25x = 262,082.25 × 262,082.25
  4. Step 4: Simplify right side
    174,782.25x = 68,687,105,765.06
  5. Step 5: Solve for x
    x = 68,687,105,765.06/174,782.25
  6. Step 6: Final answer
    x = 392,986.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.