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Finding the Third Proportional to 226,851.75 and 342,099

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Solution

The third proportional to 226,851.75 and 342,099 is: 515,895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,851.75 : 342,099 = 342,099 : x
  2. Step 2: Convert to fraction form
    226,851.75/342,099 = 342,099/x
  3. Step 3: Cross multiply
    226,851.75x = 342,099 × 342,099
  4. Step 4: Simplify right side
    226,851.75x = 117,031,725,801
  5. Step 5: Solve for x
    x = 117,031,725,801/226,851.75
  6. Step 6: Final answer
    x = 515,895.19

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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.