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Finding the Third Proportional to 267,188.63 and 415,208.53

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Solution

The third proportional to 267,188.63 and 415,208.53 is: 645,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,188.63 : 415,208.53 = 415,208.53 : x
  2. Step 2: Convert to fraction form
    267,188.63/415,208.53 = 415,208.53/x
  3. Step 3: Cross multiply
    267,188.63x = 415,208.53 × 415,208.53
  4. Step 4: Simplify right side
    267,188.63x = 172,398,124,422.78
  5. Step 5: Solve for x
    x = 172,398,124,422.78/267,188.63
  6. Step 6: Final answer
    x = 645,230.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.