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Finding the Third Proportional to 258,232.88 and 363,003.13

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Solution

The third proportional to 258,232.88 and 363,003.13 is: 510,280.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,232.88 : 363,003.13 = 363,003.13 : x
  2. Step 2: Convert to fraction form
    258,232.88/363,003.13 = 363,003.13/x
  3. Step 3: Cross multiply
    258,232.88x = 363,003.13 × 363,003.13
  4. Step 4: Simplify right side
    258,232.88x = 131,771,268,759.77
  5. Step 5: Solve for x
    x = 131,771,268,759.77/258,232.88
  6. Step 6: Final answer
    x = 510,280.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.