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Finding the Third Proportional to 169,512.75 and 262,642.50

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Solution

The third proportional to 169,512.75 and 262,642.50 is: 406,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,512.75 : 262,642.50 = 262,642.50 : x
  2. Step 2: Convert to fraction form
    169,512.75/262,642.50 = 262,642.50/x
  3. Step 3: Cross multiply
    169,512.75x = 262,642.50 × 262,642.50
  4. Step 4: Simplify right side
    169,512.75x = 68,981,082,806.25
  5. Step 5: Solve for x
    x = 68,981,082,806.25/169,512.75
  6. Step 6: Final answer
    x = 406,937.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.