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Finding the Third Proportional to 227,539.13 and 341,308.69

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Solution

The third proportional to 227,539.13 and 341,308.69 is: 511,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,539.13 : 341,308.69 = 341,308.69 : x
  2. Step 2: Convert to fraction form
    227,539.13/341,308.69 = 341,308.69/x
  3. Step 3: Cross multiply
    227,539.13x = 341,308.69 × 341,308.69
  4. Step 4: Simplify right side
    227,539.13x = 116,491,620,162.97
  5. Step 5: Solve for x
    x = 116,491,620,162.97/227,539.13
  6. Step 6: Final answer
    x = 511,963.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.