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Finding the Third Proportional to 144,859.50 and 232,679.25

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Solution

The third proportional to 144,859.50 and 232,679.25 is: 373,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,859.50 : 232,679.25 = 232,679.25 : x
  2. Step 2: Convert to fraction form
    144,859.50/232,679.25 = 232,679.25/x
  3. Step 3: Cross multiply
    144,859.50x = 232,679.25 × 232,679.25
  4. Step 4: Simplify right side
    144,859.50x = 54,139,633,380.56
  5. Step 5: Solve for x
    x = 54,139,633,380.56/144,859.50
  6. Step 6: Final answer
    x = 373,738.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.