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Finding the Third Proportional to 159,614.30 and 334,012.36

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Solution

The third proportional to 159,614.30 and 334,012.36 is: 698,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,614.30 : 334,012.36 = 334,012.36 : x
  2. Step 2: Convert to fraction form
    159,614.30/334,012.36 = 334,012.36/x
  3. Step 3: Cross multiply
    159,614.30x = 334,012.36 × 334,012.36
  4. Step 4: Simplify right side
    159,614.30x = 111,564,256,215.25
  5. Step 5: Solve for x
    x = 111,564,256,215.25/159,614.30
  6. Step 6: Final answer
    x = 698,961.55

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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.