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Finding the Third Proportional to 122,923.83 and 268,188.47

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Solution

The third proportional to 122,923.83 and 268,188.47 is: 585,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,923.83 : 268,188.47 = 268,188.47 : x
  2. Step 2: Convert to fraction form
    122,923.83/268,188.47 = 268,188.47/x
  3. Step 3: Cross multiply
    122,923.83x = 268,188.47 × 268,188.47
  4. Step 4: Simplify right side
    122,923.83x = 71,925,054,770.47
  5. Step 5: Solve for x
    x = 71,925,054,770.47/122,923.83
  6. Step 6: Final answer
    x = 585,118.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.