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Finding the Third Proportional to 140,043 and 215,256

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Solution

The third proportional to 140,043 and 215,256 is: 330,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,043 : 215,256 = 215,256 : x
  2. Step 2: Convert to fraction form
    140,043/215,256 = 215,256/x
  3. Step 3: Cross multiply
    140,043x = 215,256 × 215,256
  4. Step 4: Simplify right side
    140,043x = 46,335,145,536
  5. Step 5: Solve for x
    x = 46,335,145,536/140,043
  6. Step 6: Final answer
    x = 330,863.70

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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.