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Finding the Third Proportional to 215,772.75 and 334,401.75

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Solution

The third proportional to 215,772.75 and 334,401.75 is: 518,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,772.75 : 334,401.75 = 334,401.75 : x
  2. Step 2: Convert to fraction form
    215,772.75/334,401.75 = 334,401.75/x
  3. Step 3: Cross multiply
    215,772.75x = 334,401.75 × 334,401.75
  4. Step 4: Simplify right side
    215,772.75x = 111,824,530,403.06
  5. Step 5: Solve for x
    x = 111,824,530,403.06/215,772.75
  6. Step 6: Final answer
    x = 518,251.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.