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Finding the Third Proportional to 201,718 and 267,585

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Solution

The third proportional to 201,718 and 267,585 is: 354,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,718 : 267,585 = 267,585 : x
  2. Step 2: Convert to fraction form
    201,718/267,585 = 267,585/x
  3. Step 3: Cross multiply
    201,718x = 267,585 × 267,585
  4. Step 4: Simplify right side
    201,718x = 71,601,732,225
  5. Step 5: Solve for x
    x = 71,601,732,225/201,718
  6. Step 6: Final answer
    x = 354,959.56

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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.