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Finding the Third Proportional to 165,664.50 and 220,719.50

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Solution

The third proportional to 165,664.50 and 220,719.50 is: 294,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,664.50 : 220,719.50 = 220,719.50 : x
  2. Step 2: Convert to fraction form
    165,664.50/220,719.50 = 220,719.50/x
  3. Step 3: Cross multiply
    165,664.50x = 220,719.50 × 220,719.50
  4. Step 4: Simplify right side
    165,664.50x = 48,717,097,680.25
  5. Step 5: Solve for x
    x = 48,717,097,680.25/165,664.50
  6. Step 6: Final answer
    x = 294,070.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.