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Finding the Third Proportional to 141,912 and 218,192

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Solution

The third proportional to 141,912 and 218,192 is: 335,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,912 : 218,192 = 218,192 : x
  2. Step 2: Convert to fraction form
    141,912/218,192 = 218,192/x
  3. Step 3: Cross multiply
    141,912x = 218,192 × 218,192
  4. Step 4: Simplify right side
    141,912x = 47,607,748,864
  5. Step 5: Solve for x
    x = 47,607,748,864/141,912
  6. Step 6: Final answer
    x = 335,473.74

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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.