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Finding the Third Proportional to 181,057 and 266,035

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Solution

The third proportional to 181,057 and 266,035 is: 390,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,057 : 266,035 = 266,035 : x
  2. Step 2: Convert to fraction form
    181,057/266,035 = 266,035/x
  3. Step 3: Cross multiply
    181,057x = 266,035 × 266,035
  4. Step 4: Simplify right side
    181,057x = 70,774,621,225
  5. Step 5: Solve for x
    x = 70,774,621,225/181,057
  6. Step 6: Final answer
    x = 390,896.91

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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.