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Finding the Third Proportional to 233,610.75 and 366,049.13

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Solution

The third proportional to 233,610.75 and 366,049.13 is: 573,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,610.75 : 366,049.13 = 366,049.13 : x
  2. Step 2: Convert to fraction form
    233,610.75/366,049.13 = 366,049.13/x
  3. Step 3: Cross multiply
    233,610.75x = 366,049.13 × 366,049.13
  4. Step 4: Simplify right side
    233,610.75x = 133,991,961,913.27
  5. Step 5: Solve for x
    x = 133,991,961,913.27/233,610.75
  6. Step 6: Final answer
    x = 573,569.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.