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Finding the Third Proportional to 155,896.75 and 251,073

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Solution

The third proportional to 155,896.75 and 251,073 is: 404,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,896.75 : 251,073 = 251,073 : x
  2. Step 2: Convert to fraction form
    155,896.75/251,073 = 251,073/x
  3. Step 3: Cross multiply
    155,896.75x = 251,073 × 251,073
  4. Step 4: Simplify right side
    155,896.75x = 63,037,651,329
  5. Step 5: Solve for x
    x = 63,037,651,329/155,896.75
  6. Step 6: Final answer
    x = 404,355.13

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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.