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Finding the Third Proportional to 141,908 and 211,632

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Solution

The third proportional to 141,908 and 211,632 is: 315,613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,908 : 211,632 = 211,632 : x
  2. Step 2: Convert to fraction form
    141,908/211,632 = 211,632/x
  3. Step 3: Cross multiply
    141,908x = 211,632 × 211,632
  4. Step 4: Simplify right side
    141,908x = 44,788,103,424
  5. Step 5: Solve for x
    x = 44,788,103,424/141,908
  6. Step 6: Final answer
    x = 315,613.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.