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Finding the Third Proportional to 109,567.50 and 227,559

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Solution

The third proportional to 109,567.50 and 227,559 is: 472,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,567.50 : 227,559 = 227,559 : x
  2. Step 2: Convert to fraction form
    109,567.50/227,559 = 227,559/x
  3. Step 3: Cross multiply
    109,567.50x = 227,559 × 227,559
  4. Step 4: Simplify right side
    109,567.50x = 51,783,098,481
  5. Step 5: Solve for x
    x = 51,783,098,481/109,567.50
  6. Step 6: Final answer
    x = 472,613.67

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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.