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Finding the Third Proportional to 159,384 and 335,088

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Solution

The third proportional to 159,384 and 335,088 is: 704,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,384 : 335,088 = 335,088 : x
  2. Step 2: Convert to fraction form
    159,384/335,088 = 335,088/x
  3. Step 3: Cross multiply
    159,384x = 335,088 × 335,088
  4. Step 4: Simplify right side
    159,384x = 112,283,967,744
  5. Step 5: Solve for x
    x = 112,283,967,744/159,384
  6. Step 6: Final answer
    x = 704,487.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.