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Finding the Third Proportional to 181,283.50 and 254,832.75

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Solution

The third proportional to 181,283.50 and 254,832.75 is: 358,221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,283.50 : 254,832.75 = 254,832.75 : x
  2. Step 2: Convert to fraction form
    181,283.50/254,832.75 = 254,832.75/x
  3. Step 3: Cross multiply
    181,283.50x = 254,832.75 × 254,832.75
  4. Step 4: Simplify right side
    181,283.50x = 64,939,730,472.56
  5. Step 5: Solve for x
    x = 64,939,730,472.56/181,283.50
  6. Step 6: Final answer
    x = 358,221.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.