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Finding the Third Proportional to 238,393.50 and 505,218

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Solution

The third proportional to 238,393.50 and 505,218 is: 1,070,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,393.50 : 505,218 = 505,218 : x
  2. Step 2: Convert to fraction form
    238,393.50/505,218 = 505,218/x
  3. Step 3: Cross multiply
    238,393.50x = 505,218 × 505,218
  4. Step 4: Simplify right side
    238,393.50x = 255,245,227,524
  5. Step 5: Solve for x
    x = 255,245,227,524/238,393.50
  6. Step 6: Final answer
    x = 1,070,688.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.