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Finding the Third Proportional to 181,184 and 266,446

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Solution

The third proportional to 181,184 and 266,446 is: 391,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,184 : 266,446 = 266,446 : x
  2. Step 2: Convert to fraction form
    181,184/266,446 = 266,446/x
  3. Step 3: Cross multiply
    181,184x = 266,446 × 266,446
  4. Step 4: Simplify right side
    181,184x = 70,993,470,916
  5. Step 5: Solve for x
    x = 70,993,470,916/181,184
  6. Step 6: Final answer
    x = 391,830.80

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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.