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Finding the Third Proportional to 149,751 and 226,196

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Solution

The third proportional to 149,751 and 226,196 is: 341,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,751 : 226,196 = 226,196 : x
  2. Step 2: Convert to fraction form
    149,751/226,196 = 226,196/x
  3. Step 3: Cross multiply
    149,751x = 226,196 × 226,196
  4. Step 4: Simplify right side
    149,751x = 51,164,630,416
  5. Step 5: Solve for x
    x = 51,164,630,416/149,751
  6. Step 6: Final answer
    x = 341,664.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.