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Finding the Third Proportional to 122,205 and 255,582

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Solution

The third proportional to 122,205 and 255,582 is: 534,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,205 : 255,582 = 255,582 : x
  2. Step 2: Convert to fraction form
    122,205/255,582 = 255,582/x
  3. Step 3: Cross multiply
    122,205x = 255,582 × 255,582
  4. Step 4: Simplify right side
    122,205x = 65,322,158,724
  5. Step 5: Solve for x
    x = 65,322,158,724/122,205
  6. Step 6: Final answer
    x = 534,529.35

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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.