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Finding the Third Proportional to 161,886 and 245,086.88

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Solution

The third proportional to 161,886 and 245,086.88 is: 371,048.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,886 : 245,086.88 = 245,086.88 : x
  2. Step 2: Convert to fraction form
    161,886/245,086.88 = 245,086.88/x
  3. Step 3: Cross multiply
    161,886x = 245,086.88 × 245,086.88
  4. Step 4: Simplify right side
    161,886x = 60,067,576,297.27
  5. Step 5: Solve for x
    x = 60,067,576,297.27/161,886
  6. Step 6: Final answer
    x = 371,048.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.