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Finding the Third Proportional to 121,408 and 264,960

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Solution

The third proportional to 121,408 and 264,960 is: 578,246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,408 : 264,960 = 264,960 : x
  2. Step 2: Convert to fraction form
    121,408/264,960 = 264,960/x
  3. Step 3: Cross multiply
    121,408x = 264,960 × 264,960
  4. Step 4: Simplify right side
    121,408x = 70,203,801,600
  5. Step 5: Solve for x
    x = 70,203,801,600/121,408
  6. Step 6: Final answer
    x = 578,246.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.