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Finding the Third Proportional to 121,500 and 264,807

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Solution

The third proportional to 121,500 and 264,807 is: 577,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,500 : 264,807 = 264,807 : x
  2. Step 2: Convert to fraction form
    121,500/264,807 = 264,807/x
  3. Step 3: Cross multiply
    121,500x = 264,807 × 264,807
  4. Step 4: Simplify right side
    121,500x = 70,122,747,249
  5. Step 5: Solve for x
    x = 70,122,747,249/121,500
  6. Step 6: Final answer
    x = 577,141.95

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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.