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Finding the Third Proportional to 181,332 and 275,994

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Solution

The third proportional to 181,332 and 275,994 is: 420,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,332 : 275,994 = 275,994 : x
  2. Step 2: Convert to fraction form
    181,332/275,994 = 275,994/x
  3. Step 3: Cross multiply
    181,332x = 275,994 × 275,994
  4. Step 4: Simplify right side
    181,332x = 76,172,688,036
  5. Step 5: Solve for x
    x = 76,172,688,036/181,332
  6. Step 6: Final answer
    x = 420,073.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.