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Finding the Third Proportional to 156,058 and 336,696

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Solution

The third proportional to 156,058 and 336,696 is: 726,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,058 : 336,696 = 336,696 : x
  2. Step 2: Convert to fraction form
    156,058/336,696 = 336,696/x
  3. Step 3: Cross multiply
    156,058x = 336,696 × 336,696
  4. Step 4: Simplify right side
    156,058x = 113,364,196,416
  5. Step 5: Solve for x
    x = 113,364,196,416/156,058
  6. Step 6: Final answer
    x = 726,423.49

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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.