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Finding the Third Proportional to 158,620 and 347,696

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Solution

The third proportional to 158,620 and 347,696 is: 762,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,620 : 347,696 = 347,696 : x
  2. Step 2: Convert to fraction form
    158,620/347,696 = 347,696/x
  3. Step 3: Cross multiply
    158,620x = 347,696 × 347,696
  4. Step 4: Simplify right side
    158,620x = 120,892,508,416
  5. Step 5: Solve for x
    x = 120,892,508,416/158,620
  6. Step 6: Final answer
    x = 762,151.74

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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.