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Finding the Third Proportional to 157,696 and 341,640

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Solution

The third proportional to 157,696 and 341,640 is: 740,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,696 : 341,640 = 341,640 : x
  2. Step 2: Convert to fraction form
    157,696/341,640 = 341,640/x
  3. Step 3: Cross multiply
    157,696x = 341,640 × 341,640
  4. Step 4: Simplify right side
    157,696x = 116,717,889,600
  5. Step 5: Solve for x
    x = 116,717,889,600/157,696
  6. Step 6: Final answer
    x = 740,144.90

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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.