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Finding the Third Proportional to 181,885.50 and 219,793.50

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Solution

The third proportional to 181,885.50 and 219,793.50 is: 265,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,885.50 : 219,793.50 = 219,793.50 : x
  2. Step 2: Convert to fraction form
    181,885.50/219,793.50 = 219,793.50/x
  3. Step 3: Cross multiply
    181,885.50x = 219,793.50 × 219,793.50
  4. Step 4: Simplify right side
    181,885.50x = 48,309,182,642.25
  5. Step 5: Solve for x
    x = 48,309,182,642.25/181,885.50
  6. Step 6: Final answer
    x = 265,602.17

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.