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Finding the Third Proportional to 160,886 and 353,494

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Solution

The third proportional to 160,886 and 353,494 is: 776,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,886 : 353,494 = 353,494 : x
  2. Step 2: Convert to fraction form
    160,886/353,494 = 353,494/x
  3. Step 3: Cross multiply
    160,886x = 353,494 × 353,494
  4. Step 4: Simplify right side
    160,886x = 124,958,008,036
  5. Step 5: Solve for x
    x = 124,958,008,036/160,886
  6. Step 6: Final answer
    x = 776,686.65

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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.