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Finding the Third Proportional to 223,415.72 and 491,926.92

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Solution

The third proportional to 223,415.72 and 491,926.92 is: 1,083,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,415.72 : 491,926.92 = 491,926.92 : x
  2. Step 2: Convert to fraction form
    223,415.72/491,926.92 = 491,926.92/x
  3. Step 3: Cross multiply
    223,415.72x = 491,926.92 × 491,926.92
  4. Step 4: Simplify right side
    223,415.72x = 241,992,096,465.41
  5. Step 5: Solve for x
    x = 241,992,096,465.41/223,415.72
  6. Step 6: Final answer
    x = 1,083,147.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.