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Finding the Third Proportional to 274,168.13 and 366,752.81

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Solution

The third proportional to 274,168.13 and 366,752.81 is: 490,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,168.13 : 366,752.81 = 366,752.81 : x
  2. Step 2: Convert to fraction form
    274,168.13/366,752.81 = 366,752.81/x
  3. Step 3: Cross multiply
    274,168.13x = 366,752.81 × 366,752.81
  4. Step 4: Simplify right side
    274,168.13x = 134,507,625,476.66
  5. Step 5: Solve for x
    x = 134,507,625,476.66/274,168.13
  6. Step 6: Final answer
    x = 490,602.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.