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Finding the Third Proportional to 122,198 and 255,570

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Solution

The third proportional to 122,198 and 255,570 is: 534,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,198 : 255,570 = 255,570 : x
  2. Step 2: Convert to fraction form
    122,198/255,570 = 255,570/x
  3. Step 3: Cross multiply
    122,198x = 255,570 × 255,570
  4. Step 4: Simplify right side
    122,198x = 65,316,024,900
  5. Step 5: Solve for x
    x = 65,316,024,900/122,198
  6. Step 6: Final answer
    x = 534,509.77

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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.