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Finding the Third Proportional to 144,466 and 191,741

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Solution

The third proportional to 144,466 and 191,741 is: 254,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,466 : 191,741 = 191,741 : x
  2. Step 2: Convert to fraction form
    144,466/191,741 = 191,741/x
  3. Step 3: Cross multiply
    144,466x = 191,741 × 191,741
  4. Step 4: Simplify right side
    144,466x = 36,764,611,081
  5. Step 5: Solve for x
    x = 36,764,611,081/144,466
  6. Step 6: Final answer
    x = 254,486.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.