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Finding the Third Proportional to 147,736 and 322,552

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Solution

The third proportional to 147,736 and 322,552 is: 704,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,736 : 322,552 = 322,552 : x
  2. Step 2: Convert to fraction form
    147,736/322,552 = 322,552/x
  3. Step 3: Cross multiply
    147,736x = 322,552 × 322,552
  4. Step 4: Simplify right side
    147,736x = 104,039,792,704
  5. Step 5: Solve for x
    x = 104,039,792,704/147,736
  6. Step 6: Final answer
    x = 704,227.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.