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Finding the Third Proportional to 230,069 and 353,167

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Solution

The third proportional to 230,069 and 353,167 is: 542,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,069 : 353,167 = 353,167 : x
  2. Step 2: Convert to fraction form
    230,069/353,167 = 353,167/x
  3. Step 3: Cross multiply
    230,069x = 353,167 × 353,167
  4. Step 4: Simplify right side
    230,069x = 124,726,929,889
  5. Step 5: Solve for x
    x = 124,726,929,889/230,069
  6. Step 6: Final answer
    x = 542,128.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.