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Finding the Third Proportional to 144,866 and 313,850

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Solution

The third proportional to 144,866 and 313,850 is: 679,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,866 : 313,850 = 313,850 : x
  2. Step 2: Convert to fraction form
    144,866/313,850 = 313,850/x
  3. Step 3: Cross multiply
    144,866x = 313,850 × 313,850
  4. Step 4: Simplify right side
    144,866x = 98,501,822,500
  5. Step 5: Solve for x
    x = 98,501,822,500/144,866
  6. Step 6: Final answer
    x = 679,951.28

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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.