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Finding the Third Proportional to 231,283.50 and 264,499.50

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Solution

The third proportional to 231,283.50 and 264,499.50 is: 302,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,283.50 : 264,499.50 = 264,499.50 : x
  2. Step 2: Convert to fraction form
    231,283.50/264,499.50 = 264,499.50/x
  3. Step 3: Cross multiply
    231,283.50x = 264,499.50 × 264,499.50
  4. Step 4: Simplify right side
    231,283.50x = 69,959,985,500.25
  5. Step 5: Solve for x
    x = 69,959,985,500.25/231,283.50
  6. Step 6: Final answer
    x = 302,485.85

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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.