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Finding the Third Proportional to 90,324 and 166,495.50

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Solution

The third proportional to 90,324 and 166,495.50 is: 306,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,324 : 166,495.50 = 166,495.50 : x
  2. Step 2: Convert to fraction form
    90,324/166,495.50 = 166,495.50/x
  3. Step 3: Cross multiply
    90,324x = 166,495.50 × 166,495.50
  4. Step 4: Simplify right side
    90,324x = 27,720,751,520.25
  5. Step 5: Solve for x
    x = 27,720,751,520.25/90,324
  6. Step 6: Final answer
    x = 306,903.50

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.