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Finding the Third Proportional to 160,472 and 347,728

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Solution

The third proportional to 160,472 and 347,728 is: 753,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,472 : 347,728 = 347,728 : x
  2. Step 2: Convert to fraction form
    160,472/347,728 = 347,728/x
  3. Step 3: Cross multiply
    160,472x = 347,728 × 347,728
  4. Step 4: Simplify right side
    160,472x = 120,914,761,984
  5. Step 5: Solve for x
    x = 120,914,761,984/160,472
  6. Step 6: Final answer
    x = 753,494.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.