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Finding the Third Proportional to 179,677 and 299,435.50

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Solution

The third proportional to 179,677 and 299,435.50 is: 499,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,677 : 299,435.50 = 299,435.50 : x
  2. Step 2: Convert to fraction form
    179,677/299,435.50 = 299,435.50/x
  3. Step 3: Cross multiply
    179,677x = 299,435.50 × 299,435.50
  4. Step 4: Simplify right side
    179,677x = 89,661,618,660.25
  5. Step 5: Solve for x
    x = 89,661,618,660.25/179,677
  6. Step 6: Final answer
    x = 499,015.56

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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.