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Finding the Third Proportional to 122,250 and 255,678

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Solution

The third proportional to 122,250 and 255,678 is: 534,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,250 : 255,678 = 255,678 : x
  2. Step 2: Convert to fraction form
    122,250/255,678 = 255,678/x
  3. Step 3: Cross multiply
    122,250x = 255,678 × 255,678
  4. Step 4: Simplify right side
    122,250x = 65,371,239,684
  5. Step 5: Solve for x
    x = 65,371,239,684/122,250
  6. Step 6: Final answer
    x = 534,734.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.