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Finding the Third Proportional to 177,367.50 and 380,979

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Solution

The third proportional to 177,367.50 and 380,979 is: 818,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,367.50 : 380,979 = 380,979 : x
  2. Step 2: Convert to fraction form
    177,367.50/380,979 = 380,979/x
  3. Step 3: Cross multiply
    177,367.50x = 380,979 × 380,979
  4. Step 4: Simplify right side
    177,367.50x = 145,144,998,441
  5. Step 5: Solve for x
    x = 145,144,998,441/177,367.50
  6. Step 6: Final answer
    x = 818,329.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.