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Finding the Third Proportional to 160,792 and 347,008

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Solution

The third proportional to 160,792 and 347,008 is: 748,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,792 : 347,008 = 347,008 : x
  2. Step 2: Convert to fraction form
    160,792/347,008 = 347,008/x
  3. Step 3: Cross multiply
    160,792x = 347,008 × 347,008
  4. Step 4: Simplify right side
    160,792x = 120,414,552,064
  5. Step 5: Solve for x
    x = 120,414,552,064/160,792
  6. Step 6: Final answer
    x = 748,883.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.