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Finding the Third Proportional to 227,148.75 and 491,911.88

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Solution

The third proportional to 227,148.75 and 491,911.88 is: 1,065,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,148.75 : 491,911.88 = 491,911.88 : x
  2. Step 2: Convert to fraction form
    227,148.75/491,911.88 = 491,911.88/x
  3. Step 3: Cross multiply
    227,148.75x = 491,911.88 × 491,911.88
  4. Step 4: Simplify right side
    227,148.75x = 241,977,292,766.02
  5. Step 5: Solve for x
    x = 241,977,292,766.02/227,148.75
  6. Step 6: Final answer
    x = 1,065,281.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.