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Finding the Third Proportional to 159,732 and 334,206

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Solution

The third proportional to 159,732 and 334,206 is: 699,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,732 : 334,206 = 334,206 : x
  2. Step 2: Convert to fraction form
    159,732/334,206 = 334,206/x
  3. Step 3: Cross multiply
    159,732x = 334,206 × 334,206
  4. Step 4: Simplify right side
    159,732x = 111,693,650,436
  5. Step 5: Solve for x
    x = 111,693,650,436/159,732
  6. Step 6: Final answer
    x = 699,256.57

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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.