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Finding the Third Proportional to 157,273 and 342,193

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Solution

The third proportional to 157,273 and 342,193 is: 744,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,273 : 342,193 = 342,193 : x
  2. Step 2: Convert to fraction form
    157,273/342,193 = 342,193/x
  3. Step 3: Cross multiply
    157,273x = 342,193 × 342,193
  4. Step 4: Simplify right side
    157,273x = 117,096,049,249
  5. Step 5: Solve for x
    x = 117,096,049,249/157,273
  6. Step 6: Final answer
    x = 744,540.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.