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Finding the Third Proportional to 137,923.50 and 246,186

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Solution

The third proportional to 137,923.50 and 246,186 is: 439,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,923.50 : 246,186 = 246,186 : x
  2. Step 2: Convert to fraction form
    137,923.50/246,186 = 246,186/x
  3. Step 3: Cross multiply
    137,923.50x = 246,186 × 246,186
  4. Step 4: Simplify right side
    137,923.50x = 60,607,546,596
  5. Step 5: Solve for x
    x = 60,607,546,596/137,923.50
  6. Step 6: Final answer
    x = 439,428.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.