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Finding the Third Proportional to 159,182 and 343,159

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Solution

The third proportional to 159,182 and 343,159 is: 739,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,182 : 343,159 = 343,159 : x
  2. Step 2: Convert to fraction form
    159,182/343,159 = 343,159/x
  3. Step 3: Cross multiply
    159,182x = 343,159 × 343,159
  4. Step 4: Simplify right side
    159,182x = 117,758,099,281
  5. Step 5: Solve for x
    x = 117,758,099,281/159,182
  6. Step 6: Final answer
    x = 739,770.20

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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.