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Finding the Third Proportional to 202,873.50 and 315,790.50

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Solution

The third proportional to 202,873.50 and 315,790.50 is: 491,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,873.50 : 315,790.50 = 315,790.50 : x
  2. Step 2: Convert to fraction form
    202,873.50/315,790.50 = 315,790.50/x
  3. Step 3: Cross multiply
    202,873.50x = 315,790.50 × 315,790.50
  4. Step 4: Simplify right side
    202,873.50x = 99,723,639,890.25
  5. Step 5: Solve for x
    x = 99,723,639,890.25/202,873.50
  6. Step 6: Final answer
    x = 491,555.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.