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Finding the Third Proportional to 238,260 and 511,068

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Solution

The third proportional to 238,260 and 511,068 is: 1,096,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,260 : 511,068 = 511,068 : x
  2. Step 2: Convert to fraction form
    238,260/511,068 = 511,068/x
  3. Step 3: Cross multiply
    238,260x = 511,068 × 511,068
  4. Step 4: Simplify right side
    238,260x = 261,190,500,624
  5. Step 5: Solve for x
    x = 261,190,500,624/238,260
  6. Step 6: Final answer
    x = 1,096,241.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.