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Finding the Third Proportional to 75,446 and 165,400

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Solution

The third proportional to 75,446 and 165,400 is: 362,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,446 : 165,400 = 165,400 : x
  2. Step 2: Convert to fraction form
    75,446/165,400 = 165,400/x
  3. Step 3: Cross multiply
    75,446x = 165,400 × 165,400
  4. Step 4: Simplify right side
    75,446x = 27,357,160,000
  5. Step 5: Solve for x
    x = 27,357,160,000/75,446
  6. Step 6: Final answer
    x = 362,605.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.