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Finding the Third Proportional to 107,986.50 and 224,265

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Solution

The third proportional to 107,986.50 and 224,265 is: 465,750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,986.50 : 224,265 = 224,265 : x
  2. Step 2: Convert to fraction form
    107,986.50/224,265 = 224,265/x
  3. Step 3: Cross multiply
    107,986.50x = 224,265 × 224,265
  4. Step 4: Simplify right side
    107,986.50x = 50,294,790,225
  5. Step 5: Solve for x
    x = 50,294,790,225/107,986.50
  6. Step 6: Final answer
    x = 465,750.72

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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.