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Finding the Third Proportional to 132,563 and 200,774

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Solution

The third proportional to 132,563 and 200,774 is: 304,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,563 : 200,774 = 200,774 : x
  2. Step 2: Convert to fraction form
    132,563/200,774 = 200,774/x
  3. Step 3: Cross multiply
    132,563x = 200,774 × 200,774
  4. Step 4: Simplify right side
    132,563x = 40,310,199,076
  5. Step 5: Solve for x
    x = 40,310,199,076/132,563
  6. Step 6: Final answer
    x = 304,083.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.