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Finding the Third Proportional to 157,931 and 341,149

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Solution

The third proportional to 157,931 and 341,149 is: 736,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,931 : 341,149 = 341,149 : x
  2. Step 2: Convert to fraction form
    157,931/341,149 = 341,149/x
  3. Step 3: Cross multiply
    157,931x = 341,149 × 341,149
  4. Step 4: Simplify right side
    157,931x = 116,382,640,201
  5. Step 5: Solve for x
    x = 116,382,640,201/157,931
  6. Step 6: Final answer
    x = 736,920.81

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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.