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Finding the Third Proportional to 121,380 and 264,062

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Solution

The third proportional to 121,380 and 264,062 is: 574,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,380 : 264,062 = 264,062 : x
  2. Step 2: Convert to fraction form
    121,380/264,062 = 264,062/x
  3. Step 3: Cross multiply
    121,380x = 264,062 × 264,062
  4. Step 4: Simplify right side
    121,380x = 69,728,739,844
  5. Step 5: Solve for x
    x = 69,728,739,844/121,380
  6. Step 6: Final answer
    x = 574,466.47

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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.