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Finding the Third Proportional to 159,059 and 343,035

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Solution

The third proportional to 159,059 and 343,035 is: 739,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,059 : 343,035 = 343,035 : x
  2. Step 2: Convert to fraction form
    159,059/343,035 = 343,035/x
  3. Step 3: Cross multiply
    159,059x = 343,035 × 343,035
  4. Step 4: Simplify right side
    159,059x = 117,673,011,225
  5. Step 5: Solve for x
    x = 117,673,011,225/159,059
  6. Step 6: Final answer
    x = 739,807.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.