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Finding the Third Proportional to 181,184 and 266,448

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Solution

The third proportional to 181,184 and 266,448 is: 391,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,184 : 266,448 = 266,448 : x
  2. Step 2: Convert to fraction form
    181,184/266,448 = 266,448/x
  3. Step 3: Cross multiply
    181,184x = 266,448 × 266,448
  4. Step 4: Simplify right side
    181,184x = 70,994,536,704
  5. Step 5: Solve for x
    x = 70,994,536,704/181,184
  6. Step 6: Final answer
    x = 391,836.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.