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Finding the Third Proportional to 143,795.25 and 217,697.63

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Solution

The third proportional to 143,795.25 and 217,697.63 is: 329,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,795.25 : 217,697.63 = 217,697.63 : x
  2. Step 2: Convert to fraction form
    143,795.25/217,697.63 = 217,697.63/x
  3. Step 3: Cross multiply
    143,795.25x = 217,697.63 × 217,697.63
  4. Step 4: Simplify right side
    143,795.25x = 47,392,255,930.64
  5. Step 5: Solve for x
    x = 47,392,255,930.64/143,795.25
  6. Step 6: Final answer
    x = 329,581.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.