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Finding the Third Proportional to 159,376 and 343,342

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Solution

The third proportional to 159,376 and 343,342 is: 739,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,376 : 343,342 = 343,342 : x
  2. Step 2: Convert to fraction form
    159,376/343,342 = 343,342/x
  3. Step 3: Cross multiply
    159,376x = 343,342 × 343,342
  4. Step 4: Simplify right side
    159,376x = 117,883,728,964
  5. Step 5: Solve for x
    x = 117,883,728,964/159,376
  6. Step 6: Final answer
    x = 739,657.97

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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.