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Finding the Third Proportional to 179,731 and 281,920.50

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Solution

The third proportional to 179,731 and 281,920.50 is: 442,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,731 : 281,920.50 = 281,920.50 : x
  2. Step 2: Convert to fraction form
    179,731/281,920.50 = 281,920.50/x
  3. Step 3: Cross multiply
    179,731x = 281,920.50 × 281,920.50
  4. Step 4: Simplify right side
    179,731x = 79,479,168,320.25
  5. Step 5: Solve for x
    x = 79,479,168,320.25/179,731
  6. Step 6: Final answer
    x = 442,211.80

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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.