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Finding the Third Proportional to 160,972 and 353,816

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Solution

The third proportional to 160,972 and 353,816 is: 777,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,972 : 353,816 = 353,816 : x
  2. Step 2: Convert to fraction form
    160,972/353,816 = 353,816/x
  3. Step 3: Cross multiply
    160,972x = 353,816 × 353,816
  4. Step 4: Simplify right side
    160,972x = 125,185,761,856
  5. Step 5: Solve for x
    x = 125,185,761,856/160,972
  6. Step 6: Final answer
    x = 777,686.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.