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Finding the Third Proportional to 147,796 and 317,764

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Solution

The third proportional to 147,796 and 317,764 is: 683,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,796 : 317,764 = 317,764 : x
  2. Step 2: Convert to fraction form
    147,796/317,764 = 317,764/x
  3. Step 3: Cross multiply
    147,796x = 317,764 × 317,764
  4. Step 4: Simplify right side
    147,796x = 100,973,959,696
  5. Step 5: Solve for x
    x = 100,973,959,696/147,796
  6. Step 6: Final answer
    x = 683,198.19

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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.