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Finding the Third Proportional to 181,140.75 and 266,169.38

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Solution

The third proportional to 181,140.75 and 266,169.38 is: 391,110.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,140.75 : 266,169.38 = 266,169.38 : x
  2. Step 2: Convert to fraction form
    181,140.75/266,169.38 = 266,169.38/x
  3. Step 3: Cross multiply
    181,140.75x = 266,169.38 × 266,169.38
  4. Step 4: Simplify right side
    181,140.75x = 70,846,136,187.89
  5. Step 5: Solve for x
    x = 70,846,136,187.89/181,140.75
  6. Step 6: Final answer
    x = 391,110.98

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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.