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Finding the Third Proportional to 160,976.95 and 349,610.34

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Solution

The third proportional to 160,976.95 and 349,610.34 is: 759,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,976.95 : 349,610.34 = 349,610.34 : x
  2. Step 2: Convert to fraction form
    160,976.95/349,610.34 = 349,610.34/x
  3. Step 3: Cross multiply
    160,976.95x = 349,610.34 × 349,610.34
  4. Step 4: Simplify right side
    160,976.95x = 122,227,392,456.99
  5. Step 5: Solve for x
    x = 122,227,392,456.99/160,976.95
  6. Step 6: Final answer
    x = 759,285.04

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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.