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Finding the Third Proportional to 203,216 and 274,128

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Solution

The third proportional to 203,216 and 274,128 is: 369,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,216 : 274,128 = 274,128 : x
  2. Step 2: Convert to fraction form
    203,216/274,128 = 274,128/x
  3. Step 3: Cross multiply
    203,216x = 274,128 × 274,128
  4. Step 4: Simplify right side
    203,216x = 75,146,160,384
  5. Step 5: Solve for x
    x = 75,146,160,384/203,216
  6. Step 6: Final answer
    x = 369,784.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.