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Finding the Third Proportional to 70,227 and 150,295.50

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Solution

The third proportional to 70,227 and 150,295.50 is: 321,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,227 : 150,295.50 = 150,295.50 : x
  2. Step 2: Convert to fraction form
    70,227/150,295.50 = 150,295.50/x
  3. Step 3: Cross multiply
    70,227x = 150,295.50 × 150,295.50
  4. Step 4: Simplify right side
    70,227x = 22,588,737,320.25
  5. Step 5: Solve for x
    x = 22,588,737,320.25/70,227
  6. Step 6: Final answer
    x = 321,653.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.