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Finding the Third Proportional to 113,314.50 and 236,052

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Solution

The third proportional to 113,314.50 and 236,052 is: 491,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,314.50 : 236,052 = 236,052 : x
  2. Step 2: Convert to fraction form
    113,314.50/236,052 = 236,052/x
  3. Step 3: Cross multiply
    113,314.50x = 236,052 × 236,052
  4. Step 4: Simplify right side
    113,314.50x = 55,720,546,704
  5. Step 5: Solve for x
    x = 55,720,546,704/113,314.50
  6. Step 6: Final answer
    x = 491,733.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.