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Finding the Third Proportional to 159,966 and 343,206

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Solution

The third proportional to 159,966 and 343,206 is: 736,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,966 : 343,206 = 343,206 : x
  2. Step 2: Convert to fraction form
    159,966/343,206 = 343,206/x
  3. Step 3: Cross multiply
    159,966x = 343,206 × 343,206
  4. Step 4: Simplify right side
    159,966x = 117,790,358,436
  5. Step 5: Solve for x
    x = 117,790,358,436/159,966
  6. Step 6: Final answer
    x = 736,346.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.