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Finding the Third Proportional to 70,267 and 165,868.50

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Solution

The third proportional to 70,267 and 165,868.50 is: 391,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,267 : 165,868.50 = 165,868.50 : x
  2. Step 2: Convert to fraction form
    70,267/165,868.50 = 165,868.50/x
  3. Step 3: Cross multiply
    70,267x = 165,868.50 × 165,868.50
  4. Step 4: Simplify right side
    70,267x = 27,512,359,292.25
  5. Step 5: Solve for x
    x = 27,512,359,292.25/70,267
  6. Step 6: Final answer
    x = 391,540.26

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.