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Finding the Third Proportional to 122,038 and 262,802

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Solution

The third proportional to 122,038 and 262,802 is: 565,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,038 : 262,802 = 262,802 : x
  2. Step 2: Convert to fraction form
    122,038/262,802 = 262,802/x
  3. Step 3: Cross multiply
    122,038x = 262,802 × 262,802
  4. Step 4: Simplify right side
    122,038x = 69,064,891,204
  5. Step 5: Solve for x
    x = 69,064,891,204/122,038
  6. Step 6: Final answer
    x = 565,929.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.