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Finding the Third Proportional to 143,766.56 and 217,664.72

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Solution

The third proportional to 143,766.56 and 217,664.72 is: 329,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,766.56 : 217,664.72 = 217,664.72 : x
  2. Step 2: Convert to fraction form
    143,766.56/217,664.72 = 217,664.72/x
  3. Step 3: Cross multiply
    143,766.56x = 217,664.72 × 217,664.72
  4. Step 4: Simplify right side
    143,766.56x = 47,377,929,788.52
  5. Step 5: Solve for x
    x = 47,377,929,788.52/143,766.56
  6. Step 6: Final answer
    x = 329,547.63

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