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Finding the Third Proportional to 200,764 and 267,652.50

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Solution

The third proportional to 200,764 and 267,652.50 is: 356,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,764 : 267,652.50 = 267,652.50 : x
  2. Step 2: Convert to fraction form
    200,764/267,652.50 = 267,652.50/x
  3. Step 3: Cross multiply
    200,764x = 267,652.50 × 267,652.50
  4. Step 4: Simplify right side
    200,764x = 71,637,860,756.25
  5. Step 5: Solve for x
    x = 71,637,860,756.25/200,764
  6. Step 6: Final answer
    x = 356,826.23

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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.