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Finding the Third Proportional to 160,128 and 344,996

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Solution

The third proportional to 160,128 and 344,996 is: 743,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,128 : 344,996 = 344,996 : x
  2. Step 2: Convert to fraction form
    160,128/344,996 = 344,996/x
  3. Step 3: Cross multiply
    160,128x = 344,996 × 344,996
  4. Step 4: Simplify right side
    160,128x = 119,022,240,016
  5. Step 5: Solve for x
    x = 119,022,240,016/160,128
  6. Step 6: Final answer
    x = 743,294.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.