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Finding the Third Proportional to 219,975.75 and 268,454.25

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Solution

The third proportional to 219,975.75 and 268,454.25 is: 327,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,975.75 : 268,454.25 = 268,454.25 : x
  2. Step 2: Convert to fraction form
    219,975.75/268,454.25 = 268,454.25/x
  3. Step 3: Cross multiply
    219,975.75x = 268,454.25 × 268,454.25
  4. Step 4: Simplify right side
    219,975.75x = 72,067,684,343.06
  5. Step 5: Solve for x
    x = 72,067,684,343.06/219,975.75
  6. Step 6: Final answer
    x = 327,616.50

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.