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Finding the Third Proportional to 181,562 and 280,000

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Solution

The third proportional to 181,562 and 280,000 is: 431,808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,562 : 280,000 = 280,000 : x
  2. Step 2: Convert to fraction form
    181,562/280,000 = 280,000/x
  3. Step 3: Cross multiply
    181,562x = 280,000 × 280,000
  4. Step 4: Simplify right side
    181,562x = 78,400,000,000
  5. Step 5: Solve for x
    x = 78,400,000,000/181,562
  6. Step 6: Final answer
    x = 431,808.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.