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Finding the Third Proportional to 144,466 and 313,960

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Solution

The third proportional to 144,466 and 313,960 is: 682,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,466 : 313,960 = 313,960 : x
  2. Step 2: Convert to fraction form
    144,466/313,960 = 313,960/x
  3. Step 3: Cross multiply
    144,466x = 313,960 × 313,960
  4. Step 4: Simplify right side
    144,466x = 98,570,881,600
  5. Step 5: Solve for x
    x = 98,570,881,600/144,466
  6. Step 6: Final answer
    x = 682,311.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.