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Finding the Third Proportional to 209,224.50 and 304,116.75

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Solution

The third proportional to 209,224.50 and 304,116.75 is: 442,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,224.50 : 304,116.75 = 304,116.75 : x
  2. Step 2: Convert to fraction form
    209,224.50/304,116.75 = 304,116.75/x
  3. Step 3: Cross multiply
    209,224.50x = 304,116.75 × 304,116.75
  4. Step 4: Simplify right side
    209,224.50x = 92,486,997,630.56
  5. Step 5: Solve for x
    x = 92,486,997,630.56/209,224.50
  6. Step 6: Final answer
    x = 442,046.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.