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Finding the Third Proportional to 121,218 and 264,466

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Solution

The third proportional to 121,218 and 264,466 is: 576,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,218 : 264,466 = 264,466 : x
  2. Step 2: Convert to fraction form
    121,218/264,466 = 264,466/x
  3. Step 3: Cross multiply
    121,218x = 264,466 × 264,466
  4. Step 4: Simplify right side
    121,218x = 69,942,265,156
  5. Step 5: Solve for x
    x = 69,942,265,156/121,218
  6. Step 6: Final answer
    x = 576,995.70

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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.