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Finding the Third Proportional to 167,046 and 241,353

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Solution

The third proportional to 167,046 and 241,353 is: 348,713.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,046 : 241,353 = 241,353 : x
  2. Step 2: Convert to fraction form
    167,046/241,353 = 241,353/x
  3. Step 3: Cross multiply
    167,046x = 241,353 × 241,353
  4. Step 4: Simplify right side
    167,046x = 58,251,270,609
  5. Step 5: Solve for x
    x = 58,251,270,609/167,046
  6. Step 6: Final answer
    x = 348,713.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.