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Finding the Third Proportional to 160,646 and 352,823

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Solution

The third proportional to 160,646 and 352,823 is: 774,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,646 : 352,823 = 352,823 : x
  2. Step 2: Convert to fraction form
    160,646/352,823 = 352,823/x
  3. Step 3: Cross multiply
    160,646x = 352,823 × 352,823
  4. Step 4: Simplify right side
    160,646x = 124,484,069,329
  5. Step 5: Solve for x
    x = 124,484,069,329/160,646
  6. Step 6: Final answer
    x = 774,896.79

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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.