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Finding the Third Proportional to 267,853.50 and 363,779.25

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Solution

The third proportional to 267,853.50 and 363,779.25 is: 494,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,853.50 : 363,779.25 = 363,779.25 : x
  2. Step 2: Convert to fraction form
    267,853.50/363,779.25 = 363,779.25/x
  3. Step 3: Cross multiply
    267,853.50x = 363,779.25 × 363,779.25
  4. Step 4: Simplify right side
    267,853.50x = 132,335,342,730.56
  5. Step 5: Solve for x
    x = 132,335,342,730.56/267,853.50
  6. Step 6: Final answer
    x = 494,058.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.