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Finding the Third Proportional to 147,764 and 313,982

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Solution

The third proportional to 147,764 and 313,982 is: 667,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,764 : 313,982 = 313,982 : x
  2. Step 2: Convert to fraction form
    147,764/313,982 = 313,982/x
  3. Step 3: Cross multiply
    147,764x = 313,982 × 313,982
  4. Step 4: Simplify right side
    147,764x = 98,584,696,324
  5. Step 5: Solve for x
    x = 98,584,696,324/147,764
  6. Step 6: Final answer
    x = 667,176.69

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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.