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Finding the Third Proportional to 159,122 and 351,364

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Solution

The third proportional to 159,122 and 351,364 is: 775,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,122 : 351,364 = 351,364 : x
  2. Step 2: Convert to fraction form
    159,122/351,364 = 351,364/x
  3. Step 3: Cross multiply
    159,122x = 351,364 × 351,364
  4. Step 4: Simplify right side
    159,122x = 123,456,660,496
  5. Step 5: Solve for x
    x = 123,456,660,496/159,122
  6. Step 6: Final answer
    x = 775,861.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.