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Finding the Third Proportional to 74,817 and 164,394

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Solution

The third proportional to 74,817 and 164,394 is: 361,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,817 : 164,394 = 164,394 : x
  2. Step 2: Convert to fraction form
    74,817/164,394 = 164,394/x
  3. Step 3: Cross multiply
    74,817x = 164,394 × 164,394
  4. Step 4: Simplify right side
    74,817x = 27,025,387,236
  5. Step 5: Solve for x
    x = 27,025,387,236/74,817
  6. Step 6: Final answer
    x = 361,219.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.