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Finding the Third Proportional to 143,780.06 and 217,682.44

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Solution

The third proportional to 143,780.06 and 217,682.44 is: 329,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,780.06 : 217,682.44 = 217,682.44 : x
  2. Step 2: Convert to fraction form
    143,780.06/217,682.44 = 217,682.44/x
  3. Step 3: Cross multiply
    143,780.06x = 217,682.44 × 217,682.44
  4. Step 4: Simplify right side
    143,780.06x = 47,385,643,595.94
  5. Step 5: Solve for x
    x = 47,385,643,595.94/143,780.06
  6. Step 6: Final answer
    x = 329,570.34

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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.