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Finding the Third Proportional to 118,516 and 250,974

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Solution

The third proportional to 118,516 and 250,974 is: 531,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,516 : 250,974 = 250,974 : x
  2. Step 2: Convert to fraction form
    118,516/250,974 = 250,974/x
  3. Step 3: Cross multiply
    118,516x = 250,974 × 250,974
  4. Step 4: Simplify right side
    118,516x = 62,987,948,676
  5. Step 5: Solve for x
    x = 62,987,948,676/118,516
  6. Step 6: Final answer
    x = 531,472.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.