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Finding the Third Proportional to 141,232 and 220,182

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Solution

The third proportional to 141,232 and 220,182 is: 343,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,232 : 220,182 = 220,182 : x
  2. Step 2: Convert to fraction form
    141,232/220,182 = 220,182/x
  3. Step 3: Cross multiply
    141,232x = 220,182 × 220,182
  4. Step 4: Simplify right side
    141,232x = 48,480,113,124
  5. Step 5: Solve for x
    x = 48,480,113,124/141,232
  6. Step 6: Final answer
    x = 343,265.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.