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Finding the Third Proportional to 233,976 and 366,660

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Solution

The third proportional to 233,976 and 366,660 is: 574,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,976 : 366,660 = 366,660 : x
  2. Step 2: Convert to fraction form
    233,976/366,660 = 366,660/x
  3. Step 3: Cross multiply
    233,976x = 366,660 × 366,660
  4. Step 4: Simplify right side
    233,976x = 134,439,555,600
  5. Step 5: Solve for x
    x = 134,439,555,600/233,976
  6. Step 6: Final answer
    x = 574,586.95

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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.