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Finding the Third Proportional to 141,216.75 and 215,132.63

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Solution

The third proportional to 141,216.75 and 215,132.63 is: 327,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,216.75 : 215,132.63 = 215,132.63 : x
  2. Step 2: Convert to fraction form
    141,216.75/215,132.63 = 215,132.63/x
  3. Step 3: Cross multiply
    141,216.75x = 215,132.63 × 215,132.63
  4. Step 4: Simplify right side
    141,216.75x = 46,282,046,339.39
  5. Step 5: Solve for x
    x = 46,282,046,339.39/141,216.75
  6. Step 6: Final answer
    x = 327,737.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.