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Finding the Third Proportional to 177,116.50 and 205,906.50

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Solution

The third proportional to 177,116.50 and 205,906.50 is: 239,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,116.50 : 205,906.50 = 205,906.50 : x
  2. Step 2: Convert to fraction form
    177,116.50/205,906.50 = 205,906.50/x
  3. Step 3: Cross multiply
    177,116.50x = 205,906.50 × 205,906.50
  4. Step 4: Simplify right side
    177,116.50x = 42,397,486,742.25
  5. Step 5: Solve for x
    x = 42,397,486,742.25/177,116.50
  6. Step 6: Final answer
    x = 239,376.27

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.