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Finding the Third Proportional to 157,648 and 335,744

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Solution

The third proportional to 157,648 and 335,744 is: 715,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,648 : 335,744 = 335,744 : x
  2. Step 2: Convert to fraction form
    157,648/335,744 = 335,744/x
  3. Step 3: Cross multiply
    157,648x = 335,744 × 335,744
  4. Step 4: Simplify right side
    157,648x = 112,724,033,536
  5. Step 5: Solve for x
    x = 112,724,033,536/157,648
  6. Step 6: Final answer
    x = 715,036.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.