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Finding the Third Proportional to 107,509.50 and 230,082.75

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Solution

The third proportional to 107,509.50 and 230,082.75 is: 492,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,509.50 : 230,082.75 = 230,082.75 : x
  2. Step 2: Convert to fraction form
    107,509.50/230,082.75 = 230,082.75/x
  3. Step 3: Cross multiply
    107,509.50x = 230,082.75 × 230,082.75
  4. Step 4: Simplify right side
    107,509.50x = 52,938,071,847.56
  5. Step 5: Solve for x
    x = 52,938,071,847.56/107,509.50
  6. Step 6: Final answer
    x = 492,403.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.