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Finding the Third Proportional to 111,194 and 236,484

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Solution

The third proportional to 111,194 and 236,484 is: 502,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,194 : 236,484 = 236,484 : x
  2. Step 2: Convert to fraction form
    111,194/236,484 = 236,484/x
  3. Step 3: Cross multiply
    111,194x = 236,484 × 236,484
  4. Step 4: Simplify right side
    111,194x = 55,924,682,256
  5. Step 5: Solve for x
    x = 55,924,682,256/111,194
  6. Step 6: Final answer
    x = 502,946.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.