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Finding the Third Proportional to 267,907.50 and 363,848.25

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Solution

The third proportional to 267,907.50 and 363,848.25 is: 494,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,907.50 : 363,848.25 = 363,848.25 : x
  2. Step 2: Convert to fraction form
    267,907.50/363,848.25 = 363,848.25/x
  3. Step 3: Cross multiply
    267,907.50x = 363,848.25 × 363,848.25
  4. Step 4: Simplify right side
    267,907.50x = 132,385,549,028.06
  5. Step 5: Solve for x
    x = 132,385,549,028.06/267,907.50
  6. Step 6: Final answer
    x = 494,146.48

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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.