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Finding the Third Proportional to 183,228 and 268,276.50

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Solution

The third proportional to 183,228 and 268,276.50 is: 392,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,228 : 268,276.50 = 268,276.50 : x
  2. Step 2: Convert to fraction form
    183,228/268,276.50 = 268,276.50/x
  3. Step 3: Cross multiply
    183,228x = 268,276.50 × 268,276.50
  4. Step 4: Simplify right side
    183,228x = 71,972,280,452.25
  5. Step 5: Solve for x
    x = 71,972,280,452.25/183,228
  6. Step 6: Final answer
    x = 392,801.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.