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Finding the Third Proportional to 131,337 and 256,110.75

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Solution

The third proportional to 131,337 and 256,110.75 is: 499,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,337 : 256,110.75 = 256,110.75 : x
  2. Step 2: Convert to fraction form
    131,337/256,110.75 = 256,110.75/x
  3. Step 3: Cross multiply
    131,337x = 256,110.75 × 256,110.75
  4. Step 4: Simplify right side
    131,337x = 65,592,716,265.56
  5. Step 5: Solve for x
    x = 65,592,716,265.56/131,337
  6. Step 6: Final answer
    x = 499,422.98

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.