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Finding the Third Proportional to 113,214 and 239,914.50

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Solution

The third proportional to 113,214 and 239,914.50 is: 508,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,214 : 239,914.50 = 239,914.50 : x
  2. Step 2: Convert to fraction form
    113,214/239,914.50 = 239,914.50/x
  3. Step 3: Cross multiply
    113,214x = 239,914.50 × 239,914.50
  4. Step 4: Simplify right side
    113,214x = 57,558,967,310.25
  5. Step 5: Solve for x
    x = 57,558,967,310.25/113,214
  6. Step 6: Final answer
    x = 508,408.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.