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Finding the Third Proportional to 111,292 and 262,454.75

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Solution

The third proportional to 111,292 and 262,454.75 is: 618,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,292 : 262,454.75 = 262,454.75 : x
  2. Step 2: Convert to fraction form
    111,292/262,454.75 = 262,454.75/x
  3. Step 3: Cross multiply
    111,292x = 262,454.75 × 262,454.75
  4. Step 4: Simplify right side
    111,292x = 68,882,495,797.56
  5. Step 5: Solve for x
    x = 68,882,495,797.56/111,292
  6. Step 6: Final answer
    x = 618,934.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.