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Finding the Third Proportional to 160,029 and 344,844

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Solution

The third proportional to 160,029 and 344,844 is: 743,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,029 : 344,844 = 344,844 : x
  2. Step 2: Convert to fraction form
    160,029/344,844 = 344,844/x
  3. Step 3: Cross multiply
    160,029x = 344,844 × 344,844
  4. Step 4: Simplify right side
    160,029x = 118,917,384,336
  5. Step 5: Solve for x
    x = 118,917,384,336/160,029
  6. Step 6: Final answer
    x = 743,098.97

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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.