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Finding the Third Proportional to 157,974 and 341,238

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Solution

The third proportional to 157,974 and 341,238 is: 737,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,974 : 341,238 = 341,238 : x
  2. Step 2: Convert to fraction form
    157,974/341,238 = 341,238/x
  3. Step 3: Cross multiply
    157,974x = 341,238 × 341,238
  4. Step 4: Simplify right side
    157,974x = 116,443,372,644
  5. Step 5: Solve for x
    x = 116,443,372,644/157,974
  6. Step 6: Final answer
    x = 737,104.67

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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.