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Finding the Third Proportional to 208,645.88 and 313,014.38

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Solution

The third proportional to 208,645.88 and 313,014.38 is: 469,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,645.88 : 313,014.38 = 313,014.38 : x
  2. Step 2: Convert to fraction form
    208,645.88/313,014.38 = 313,014.38/x
  3. Step 3: Cross multiply
    208,645.88x = 313,014.38 × 313,014.38
  4. Step 4: Simplify right side
    208,645.88x = 97,977,998,956.64
  5. Step 5: Solve for x
    x = 97,977,998,956.64/208,645.88
  6. Step 6: Final answer
    x = 469,589.92

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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.