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Finding the Third Proportional to 267,103.50 and 415,973.25

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Solution

The third proportional to 267,103.50 and 415,973.25 is: 647,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,103.50 : 415,973.25 = 415,973.25 : x
  2. Step 2: Convert to fraction form
    267,103.50/415,973.25 = 415,973.25/x
  3. Step 3: Cross multiply
    267,103.50x = 415,973.25 × 415,973.25
  4. Step 4: Simplify right side
    267,103.50x = 173,033,744,715.56
  5. Step 5: Solve for x
    x = 173,033,744,715.56/267,103.50
  6. Step 6: Final answer
    x = 647,815.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.