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Finding the Third Proportional to 104,269.50 and 227,652.50

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Solution

The third proportional to 104,269.50 and 227,652.50 is: 497,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,269.50 : 227,652.50 = 227,652.50 : x
  2. Step 2: Convert to fraction form
    104,269.50/227,652.50 = 227,652.50/x
  3. Step 3: Cross multiply
    104,269.50x = 227,652.50 × 227,652.50
  4. Step 4: Simplify right side
    104,269.50x = 51,825,660,756.25
  5. Step 5: Solve for x
    x = 51,825,660,756.25/104,269.50
  6. Step 6: Final answer
    x = 497,035.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.