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Finding the Third Proportional to 147,828 and 317,796

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Solution

The third proportional to 147,828 and 317,796 is: 683,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,828 : 317,796 = 317,796 : x
  2. Step 2: Convert to fraction form
    147,828/317,796 = 317,796/x
  3. Step 3: Cross multiply
    147,828x = 317,796 × 317,796
  4. Step 4: Simplify right side
    147,828x = 100,994,297,616
  5. Step 5: Solve for x
    x = 100,994,297,616/147,828
  6. Step 6: Final answer
    x = 683,187.88

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Why These Related Problems?

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