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Finding the Third Proportional to 169,013 and 367,222

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Solution

The third proportional to 169,013 and 367,222 is: 797,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,013 : 367,222 = 367,222 : x
  2. Step 2: Convert to fraction form
    169,013/367,222 = 367,222/x
  3. Step 3: Cross multiply
    169,013x = 367,222 × 367,222
  4. Step 4: Simplify right side
    169,013x = 134,851,997,284
  5. Step 5: Solve for x
    x = 134,851,997,284/169,013
  6. Step 6: Final answer
    x = 797,879.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.