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Finding the Third Proportional to 157,738 and 342,094

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Solution

The third proportional to 157,738 and 342,094 is: 741,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,738 : 342,094 = 342,094 : x
  2. Step 2: Convert to fraction form
    157,738/342,094 = 342,094/x
  3. Step 3: Cross multiply
    157,738x = 342,094 × 342,094
  4. Step 4: Simplify right side
    157,738x = 117,028,304,836
  5. Step 5: Solve for x
    x = 117,028,304,836/157,738
  6. Step 6: Final answer
    x = 741,915.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.