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Finding the Third Proportional to 159,964 and 343,202

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Solution

The third proportional to 159,964 and 343,202 is: 736,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,964 : 343,202 = 343,202 : x
  2. Step 2: Convert to fraction form
    159,964/343,202 = 343,202/x
  3. Step 3: Cross multiply
    159,964x = 343,202 × 343,202
  4. Step 4: Simplify right side
    159,964x = 117,787,612,804
  5. Step 5: Solve for x
    x = 117,787,612,804/159,964
  6. Step 6: Final answer
    x = 736,338.26

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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.