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Finding the Third Proportional to 231,279.75 and 264,496.50

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Solution

The third proportional to 231,279.75 and 264,496.50 is: 302,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,279.75 : 264,496.50 = 264,496.50 : x
  2. Step 2: Convert to fraction form
    231,279.75/264,496.50 = 264,496.50/x
  3. Step 3: Cross multiply
    231,279.75x = 264,496.50 × 264,496.50
  4. Step 4: Simplify right side
    231,279.75x = 69,958,398,512.25
  5. Step 5: Solve for x
    x = 69,958,398,512.25/231,279.75
  6. Step 6: Final answer
    x = 302,483.89

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.