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Finding the Third Proportional to 181,174 and 266,433

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Solution

The third proportional to 181,174 and 266,433 is: 391,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,174 : 266,433 = 266,433 : x
  2. Step 2: Convert to fraction form
    181,174/266,433 = 266,433/x
  3. Step 3: Cross multiply
    181,174x = 266,433 × 266,433
  4. Step 4: Simplify right side
    181,174x = 70,986,543,489
  5. Step 5: Solve for x
    x = 70,986,543,489/181,174
  6. Step 6: Final answer
    x = 391,814.19

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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.