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Finding the Third Proportional to 181,548 and 416,718

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Solution

The third proportional to 181,548 and 416,718 is: 956,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,548 : 416,718 = 416,718 : x
  2. Step 2: Convert to fraction form
    181,548/416,718 = 416,718/x
  3. Step 3: Cross multiply
    181,548x = 416,718 × 416,718
  4. Step 4: Simplify right side
    181,548x = 173,653,891,524
  5. Step 5: Solve for x
    x = 173,653,891,524/181,548
  6. Step 6: Final answer
    x = 956,517.79

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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.