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Finding the Third Proportional to 238,261.50 and 511,059.38

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Solution

The third proportional to 238,261.50 and 511,059.38 is: 1,096,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,261.50 : 511,059.38 = 511,059.38 : x
  2. Step 2: Convert to fraction form
    238,261.50/511,059.38 = 511,059.38/x
  3. Step 3: Cross multiply
    238,261.50x = 511,059.38 × 511,059.38
  4. Step 4: Simplify right side
    238,261.50x = 261,181,684,775.39
  5. Step 5: Solve for x
    x = 261,181,684,775.39/238,261.50
  6. Step 6: Final answer
    x = 1,096,197.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.