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Finding the Third Proportional to 141,838 and 215,704

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Solution

The third proportional to 141,838 and 215,704 is: 328,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,838 : 215,704 = 215,704 : x
  2. Step 2: Convert to fraction form
    141,838/215,704 = 215,704/x
  3. Step 3: Cross multiply
    141,838x = 215,704 × 215,704
  4. Step 4: Simplify right side
    141,838x = 46,528,215,616
  5. Step 5: Solve for x
    x = 46,528,215,616/141,838
  6. Step 6: Final answer
    x = 328,037.73

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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.