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Finding the Third Proportional to 113,328 and 264,690

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Solution

The third proportional to 113,328 and 264,690 is: 618,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,328 : 264,690 = 264,690 : x
  2. Step 2: Convert to fraction form
    113,328/264,690 = 264,690/x
  3. Step 3: Cross multiply
    113,328x = 264,690 × 264,690
  4. Step 4: Simplify right side
    113,328x = 70,060,796,100
  5. Step 5: Solve for x
    x = 70,060,796,100/113,328
  6. Step 6: Final answer
    x = 618,212.59

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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.