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Finding the Third Proportional to 159,696 and 349,200

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Solution

The third proportional to 159,696 and 349,200 is: 763,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,696 : 349,200 = 349,200 : x
  2. Step 2: Convert to fraction form
    159,696/349,200 = 349,200/x
  3. Step 3: Cross multiply
    159,696x = 349,200 × 349,200
  4. Step 4: Simplify right side
    159,696x = 121,940,640,000
  5. Step 5: Solve for x
    x = 121,940,640,000/159,696
  6. Step 6: Final answer
    x = 763,579.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.