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Finding the Third Proportional to 159,616 and 334,017

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Solution

The third proportional to 159,616 and 334,017 is: 698,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,616 : 334,017 = 334,017 : x
  2. Step 2: Convert to fraction form
    159,616/334,017 = 334,017/x
  3. Step 3: Cross multiply
    159,616x = 334,017 × 334,017
  4. Step 4: Simplify right side
    159,616x = 111,567,356,289
  5. Step 5: Solve for x
    x = 111,567,356,289/159,616
  6. Step 6: Final answer
    x = 698,973.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.