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Finding the Third Proportional to 144,471 and 310,446

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Solution

The third proportional to 144,471 and 310,446 is: 667,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,471 : 310,446 = 310,446 : x
  2. Step 2: Convert to fraction form
    144,471/310,446 = 310,446/x
  3. Step 3: Cross multiply
    144,471x = 310,446 × 310,446
  4. Step 4: Simplify right side
    144,471x = 96,376,718,916
  5. Step 5: Solve for x
    x = 96,376,718,916/144,471
  6. Step 6: Final answer
    x = 667,100.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.