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Finding the Third Proportional to 179,667 and 299,420.50

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Solution

The third proportional to 179,667 and 299,420.50 is: 498,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,667 : 299,420.50 = 299,420.50 : x
  2. Step 2: Convert to fraction form
    179,667/299,420.50 = 299,420.50/x
  3. Step 3: Cross multiply
    179,667x = 299,420.50 × 299,420.50
  4. Step 4: Simplify right side
    179,667x = 89,652,635,820.25
  5. Step 5: Solve for x
    x = 89,652,635,820.25/179,667
  6. Step 6: Final answer
    x = 498,993.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.