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Finding the Third Proportional to 181,177 and 266,437

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Solution

The third proportional to 181,177 and 266,437 is: 391,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,177 : 266,437 = 266,437 : x
  2. Step 2: Convert to fraction form
    181,177/266,437 = 266,437/x
  3. Step 3: Cross multiply
    181,177x = 266,437 × 266,437
  4. Step 4: Simplify right side
    181,177x = 70,988,674,969
  5. Step 5: Solve for x
    x = 70,988,674,969/181,177
  6. Step 6: Final answer
    x = 391,819.46

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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.