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Finding the Third Proportional to 147,854 and 335,189

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Solution

The third proportional to 147,854 and 335,189 is: 759,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,854 : 335,189 = 335,189 : x
  2. Step 2: Convert to fraction form
    147,854/335,189 = 335,189/x
  3. Step 3: Cross multiply
    147,854x = 335,189 × 335,189
  4. Step 4: Simplify right side
    147,854x = 112,351,665,721
  5. Step 5: Solve for x
    x = 112,351,665,721/147,854
  6. Step 6: Final answer
    x = 759,882.49

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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.