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Finding the Third Proportional to 147,810 and 335,079

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Solution

The third proportional to 147,810 and 335,079 is: 759,609.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,810 : 335,079 = 335,079 : x
  2. Step 2: Convert to fraction form
    147,810/335,079 = 335,079/x
  3. Step 3: Cross multiply
    147,810x = 335,079 × 335,079
  4. Step 4: Simplify right side
    147,810x = 112,277,936,241
  5. Step 5: Solve for x
    x = 112,277,936,241/147,810
  6. Step 6: Final answer
    x = 759,609.88

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.