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Finding the Third Proportional to 189,857.63 and 267,058.50

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Solution

The third proportional to 189,857.63 and 267,058.50 is: 375,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,857.63 : 267,058.50 = 267,058.50 : x
  2. Step 2: Convert to fraction form
    189,857.63/267,058.50 = 267,058.50/x
  3. Step 3: Cross multiply
    189,857.63x = 267,058.50 × 267,058.50
  4. Step 4: Simplify right side
    189,857.63x = 71,320,242,422.25
  5. Step 5: Solve for x
    x = 71,320,242,422.25/189,857.63
  6. Step 6: Final answer
    x = 375,651.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.