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Finding the Third Proportional to 179,671.50 and 269,484.75

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Solution

The third proportional to 179,671.50 and 269,484.75 is: 404,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,671.50 : 269,484.75 = 269,484.75 : x
  2. Step 2: Convert to fraction form
    179,671.50/269,484.75 = 269,484.75/x
  3. Step 3: Cross multiply
    179,671.50x = 269,484.75 × 269,484.75
  4. Step 4: Simplify right side
    179,671.50x = 72,622,030,482.56
  5. Step 5: Solve for x
    x = 72,622,030,482.56/179,671.50
  6. Step 6: Final answer
    x = 404,193.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.