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Finding the Third Proportional to 159,226 and 335,732

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Solution

The third proportional to 159,226 and 335,732 is: 707,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,226 : 335,732 = 335,732 : x
  2. Step 2: Convert to fraction form
    159,226/335,732 = 335,732/x
  3. Step 3: Cross multiply
    159,226x = 335,732 × 335,732
  4. Step 4: Simplify right side
    159,226x = 112,715,975,824
  5. Step 5: Solve for x
    x = 112,715,975,824/159,226
  6. Step 6: Final answer
    x = 707,899.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.