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Finding the Third Proportional to 120,177 and 278,204.50

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Solution

The third proportional to 120,177 and 278,204.50 is: 644,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,177 : 278,204.50 = 278,204.50 : x
  2. Step 2: Convert to fraction form
    120,177/278,204.50 = 278,204.50/x
  3. Step 3: Cross multiply
    120,177x = 278,204.50 × 278,204.50
  4. Step 4: Simplify right side
    120,177x = 77,397,743,820.25
  5. Step 5: Solve for x
    x = 77,397,743,820.25/120,177
  6. Step 6: Final answer
    x = 644,031.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.