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Finding the Third Proportional to 200,688 and 267,682.50

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Solution

The third proportional to 200,688 and 267,682.50 is: 357,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,688 : 267,682.50 = 267,682.50 : x
  2. Step 2: Convert to fraction form
    200,688/267,682.50 = 267,682.50/x
  3. Step 3: Cross multiply
    200,688x = 267,682.50 × 267,682.50
  4. Step 4: Simplify right side
    200,688x = 71,653,920,806.25
  5. Step 5: Solve for x
    x = 71,653,920,806.25/200,688
  6. Step 6: Final answer
    x = 357,041.38

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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.