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Finding the Third Proportional to 182,341.13 and 396,598.78

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Solution

The third proportional to 182,341.13 and 396,598.78 is: 862,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,341.13 : 396,598.78 = 396,598.78 : x
  2. Step 2: Convert to fraction form
    182,341.13/396,598.78 = 396,598.78/x
  3. Step 3: Cross multiply
    182,341.13x = 396,598.78 × 396,598.78
  4. Step 4: Simplify right side
    182,341.13x = 157,290,593,288.99
  5. Step 5: Solve for x
    x = 157,290,593,288.99/182,341.13
  6. Step 6: Final answer
    x = 862,617.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.