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Finding the Third Proportional to 150,585 and 200,754

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Solution

The third proportional to 150,585 and 200,754 is: 267,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,585 : 200,754 = 200,754 : x
  2. Step 2: Convert to fraction form
    150,585/200,754 = 200,754/x
  3. Step 3: Cross multiply
    150,585x = 200,754 × 200,754
  4. Step 4: Simplify right side
    150,585x = 40,302,168,516
  5. Step 5: Solve for x
    x = 40,302,168,516/150,585
  6. Step 6: Final answer
    x = 267,637.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.