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Finding the Third Proportional to 200,964 and 276,840

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Solution

The third proportional to 200,964 and 276,840 is: 381,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,964 : 276,840 = 276,840 : x
  2. Step 2: Convert to fraction form
    200,964/276,840 = 276,840/x
  3. Step 3: Cross multiply
    200,964x = 276,840 × 276,840
  4. Step 4: Simplify right side
    200,964x = 76,640,385,600
  5. Step 5: Solve for x
    x = 76,640,385,600/200,964
  6. Step 6: Final answer
    x = 381,363.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.