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Finding the Third Proportional to 232,086.50 and 313,137

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Solution

The third proportional to 232,086.50 and 313,137 is: 422,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,086.50 : 313,137 = 313,137 : x
  2. Step 2: Convert to fraction form
    232,086.50/313,137 = 313,137/x
  3. Step 3: Cross multiply
    232,086.50x = 313,137 × 313,137
  4. Step 4: Simplify right side
    232,086.50x = 98,054,780,769
  5. Step 5: Solve for x
    x = 98,054,780,769/232,086.50
  6. Step 6: Final answer
    x = 422,492.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.