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Finding the Third Proportional to 88,449 and 181,506

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Solution

The third proportional to 88,449 and 181,506 is: 372,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,449 : 181,506 = 181,506 : x
  2. Step 2: Convert to fraction form
    88,449/181,506 = 181,506/x
  3. Step 3: Cross multiply
    88,449x = 181,506 × 181,506
  4. Step 4: Simplify right side
    88,449x = 32,944,428,036
  5. Step 5: Solve for x
    x = 32,944,428,036/88,449
  6. Step 6: Final answer
    x = 372,468.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.