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Finding the Third Proportional to 179,641.13 and 281,804.06

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Solution

The third proportional to 179,641.13 and 281,804.06 is: 442,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,641.13 : 281,804.06 = 281,804.06 : x
  2. Step 2: Convert to fraction form
    179,641.13/281,804.06 = 281,804.06/x
  3. Step 3: Cross multiply
    179,641.13x = 281,804.06 × 281,804.06
  4. Step 4: Simplify right side
    179,641.13x = 79,413,529,641.50
  5. Step 5: Solve for x
    x = 79,413,529,641.50/179,641.13
  6. Step 6: Final answer
    x = 442,067.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.