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Finding the Third Proportional to 227,707.50 and 332,812.50

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Solution

The third proportional to 227,707.50 and 332,812.50 is: 486,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,707.50 : 332,812.50 = 332,812.50 : x
  2. Step 2: Convert to fraction form
    227,707.50/332,812.50 = 332,812.50/x
  3. Step 3: Cross multiply
    227,707.50x = 332,812.50 × 332,812.50
  4. Step 4: Simplify right side
    227,707.50x = 110,764,160,156.25
  5. Step 5: Solve for x
    x = 110,764,160,156.25/227,707.50
  6. Step 6: Final answer
    x = 486,431.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.