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Finding the Third Proportional to 163,842.75 and 220,066.88

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Solution

The third proportional to 163,842.75 and 220,066.88 is: 295,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,842.75 : 220,066.88 = 220,066.88 : x
  2. Step 2: Convert to fraction form
    163,842.75/220,066.88 = 220,066.88/x
  3. Step 3: Cross multiply
    163,842.75x = 220,066.88 × 220,066.88
  4. Step 4: Simplify right side
    163,842.75x = 48,429,429,472.27
  5. Step 5: Solve for x
    x = 48,429,429,472.27/163,842.75
  6. Step 6: Final answer
    x = 295,584.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.