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Finding the Third Proportional to 181,440 and 416,448

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Solution

The third proportional to 181,440 and 416,448 is: 955,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,440 : 416,448 = 416,448 : x
  2. Step 2: Convert to fraction form
    181,440/416,448 = 416,448/x
  3. Step 3: Cross multiply
    181,440x = 416,448 × 416,448
  4. Step 4: Simplify right side
    181,440x = 173,428,936,704
  5. Step 5: Solve for x
    x = 173,428,936,704/181,440
  6. Step 6: Final answer
    x = 955,847.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.