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Finding the Third Proportional to 147,723 and 313,169

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Solution

The third proportional to 147,723 and 313,169 is: 663,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,723 : 313,169 = 313,169 : x
  2. Step 2: Convert to fraction form
    147,723/313,169 = 313,169/x
  3. Step 3: Cross multiply
    147,723x = 313,169 × 313,169
  4. Step 4: Simplify right side
    147,723x = 98,074,822,561
  5. Step 5: Solve for x
    x = 98,074,822,561/147,723
  6. Step 6: Final answer
    x = 663,910.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.