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Finding the Third Proportional to 117,484.50 and 189,169.50

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Solution

The third proportional to 117,484.50 and 189,169.50 is: 304,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,484.50 : 189,169.50 = 189,169.50 : x
  2. Step 2: Convert to fraction form
    117,484.50/189,169.50 = 189,169.50/x
  3. Step 3: Cross multiply
    117,484.50x = 189,169.50 × 189,169.50
  4. Step 4: Simplify right side
    117,484.50x = 35,785,099,730.25
  5. Step 5: Solve for x
    x = 35,785,099,730.25/117,484.50
  6. Step 6: Final answer
    x = 304,594.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.