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Finding the Third Proportional to 181,921.50 and 271,102.50

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Solution

The third proportional to 181,921.50 and 271,102.50 is: 404,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,921.50 : 271,102.50 = 271,102.50 : x
  2. Step 2: Convert to fraction form
    181,921.50/271,102.50 = 271,102.50/x
  3. Step 3: Cross multiply
    181,921.50x = 271,102.50 × 271,102.50
  4. Step 4: Simplify right side
    181,921.50x = 73,496,565,506.25
  5. Step 5: Solve for x
    x = 73,496,565,506.25/181,921.50
  6. Step 6: Final answer
    x = 404,001.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.