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Finding the Third Proportional to 118,231.50 and 176,914.50

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Solution

The third proportional to 118,231.50 and 176,914.50 is: 264,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,231.50 : 176,914.50 = 176,914.50 : x
  2. Step 2: Convert to fraction form
    118,231.50/176,914.50 = 176,914.50/x
  3. Step 3: Cross multiply
    118,231.50x = 176,914.50 × 176,914.50
  4. Step 4: Simplify right side
    118,231.50x = 31,298,740,310.25
  5. Step 5: Solve for x
    x = 31,298,740,310.25/118,231.50
  6. Step 6: Final answer
    x = 264,724.21

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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.