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Finding the Third Proportional to 113,422 and 264,925

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Solution

The third proportional to 113,422 and 264,925 is: 618,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,422 : 264,925 = 264,925 : x
  2. Step 2: Convert to fraction form
    113,422/264,925 = 264,925/x
  3. Step 3: Cross multiply
    113,422x = 264,925 × 264,925
  4. Step 4: Simplify right side
    113,422x = 70,185,255,625
  5. Step 5: Solve for x
    x = 70,185,255,625/113,422
  6. Step 6: Final answer
    x = 618,797.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.