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Finding the Third Proportional to 236,154 and 274,540.50

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Solution

The third proportional to 236,154 and 274,540.50 is: 319,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,154 : 274,540.50 = 274,540.50 : x
  2. Step 2: Convert to fraction form
    236,154/274,540.50 = 274,540.50/x
  3. Step 3: Cross multiply
    236,154x = 274,540.50 × 274,540.50
  4. Step 4: Simplify right side
    236,154x = 75,372,486,140.25
  5. Step 5: Solve for x
    x = 75,372,486,140.25/236,154
  6. Step 6: Final answer
    x = 319,166.67

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.