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Finding the Third Proportional to 164,061.42 and 220,668.05

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Solution

The third proportional to 164,061.42 and 220,668.05 is: 296,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,061.42 : 220,668.05 = 220,668.05 : x
  2. Step 2: Convert to fraction form
    164,061.42/220,668.05 = 220,668.05/x
  3. Step 3: Cross multiply
    164,061.42x = 220,668.05 × 220,668.05
  4. Step 4: Simplify right side
    164,061.42x = 48,694,386,911.63
  5. Step 5: Solve for x
    x = 48,694,386,911.63/164,061.42
  6. Step 6: Final answer
    x = 296,805.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.