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Finding the Third Proportional to 233,674 and 366,081

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Solution

The third proportional to 233,674 and 366,081 is: 573,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,674 : 366,081 = 366,081 : x
  2. Step 2: Convert to fraction form
    233,674/366,081 = 366,081/x
  3. Step 3: Cross multiply
    233,674x = 366,081 × 366,081
  4. Step 4: Simplify right side
    233,674x = 134,015,298,561
  5. Step 5: Solve for x
    x = 134,015,298,561/233,674
  6. Step 6: Final answer
    x = 573,513.95

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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.