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Finding the Third Proportional to 140,546.06 and 215,895.94

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Solution

The third proportional to 140,546.06 and 215,895.94 is: 331,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,546.06 : 215,895.94 = 215,895.94 : x
  2. Step 2: Convert to fraction form
    140,546.06/215,895.94 = 215,895.94/x
  3. Step 3: Cross multiply
    140,546.06x = 215,895.94 × 215,895.94
  4. Step 4: Simplify right side
    140,546.06x = 46,611,055,829.00
  5. Step 5: Solve for x
    x = 46,611,055,829.00/140,546.06
  6. Step 6: Final answer
    x = 331,642.56

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Why These Related Problems?

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