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Finding the Third Proportional to 121,648 and 261,408

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Solution

The third proportional to 121,648 and 261,408 is: 561,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,648 : 261,408 = 261,408 : x
  2. Step 2: Convert to fraction form
    121,648/261,408 = 261,408/x
  3. Step 3: Cross multiply
    121,648x = 261,408 × 261,408
  4. Step 4: Simplify right side
    121,648x = 68,334,142,464
  5. Step 5: Solve for x
    x = 68,334,142,464/121,648
  6. Step 6: Final answer
    x = 561,736.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.