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Finding the Third Proportional to 140,318.26 and 215,667.25

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Solution

The third proportional to 140,318.26 and 215,667.25 is: 331,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,318.26 : 215,667.25 = 215,667.25 : x
  2. Step 2: Convert to fraction form
    140,318.26/215,667.25 = 215,667.25/x
  3. Step 3: Cross multiply
    140,318.26x = 215,667.25 × 215,667.25
  4. Step 4: Simplify right side
    140,318.26x = 46,512,361,037.66
  5. Step 5: Solve for x
    x = 46,512,361,037.66/140,318.26
  6. Step 6: Final answer
    x = 331,477.60

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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.