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Finding the Third Proportional to 230,560.88 and 352,837.13

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Solution

The third proportional to 230,560.88 and 352,837.13 is: 539,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,560.88 : 352,837.13 = 352,837.13 : x
  2. Step 2: Convert to fraction form
    230,560.88/352,837.13 = 352,837.13/x
  3. Step 3: Cross multiply
    230,560.88x = 352,837.13 × 352,837.13
  4. Step 4: Simplify right side
    230,560.88x = 124,494,036,778.27
  5. Step 5: Solve for x
    x = 124,494,036,778.27/230,560.88
  6. Step 6: Final answer
    x = 539,961.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.