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Finding the Third Proportional to 160,227 and 251,338.50

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Solution

The third proportional to 160,227 and 251,338.50 is: 394,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,227 : 251,338.50 = 251,338.50 : x
  2. Step 2: Convert to fraction form
    160,227/251,338.50 = 251,338.50/x
  3. Step 3: Cross multiply
    160,227x = 251,338.50 × 251,338.50
  4. Step 4: Simplify right side
    160,227x = 63,171,041,582.25
  5. Step 5: Solve for x
    x = 63,171,041,582.25/160,227
  6. Step 6: Final answer
    x = 394,259.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.