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Finding the Third Proportional to 140,355.47 and 215,738.72

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Solution

The third proportional to 140,355.47 and 215,738.72 is: 331,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,355.47 : 215,738.72 = 215,738.72 : x
  2. Step 2: Convert to fraction form
    140,355.47/215,738.72 = 215,738.72/x
  3. Step 3: Cross multiply
    140,355.47x = 215,738.72 × 215,738.72
  4. Step 4: Simplify right side
    140,355.47x = 46,543,194,767.89
  5. Step 5: Solve for x
    x = 46,543,194,767.89/140,355.47
  6. Step 6: Final answer
    x = 331,609.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.