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Finding the Third Proportional to 202,513.50 and 468,834.75

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Solution

The third proportional to 202,513.50 and 468,834.75 is: 1,085,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,513.50 : 468,834.75 = 468,834.75 : x
  2. Step 2: Convert to fraction form
    202,513.50/468,834.75 = 468,834.75/x
  3. Step 3: Cross multiply
    202,513.50x = 468,834.75 × 468,834.75
  4. Step 4: Simplify right side
    202,513.50x = 219,806,022,807.56
  5. Step 5: Solve for x
    x = 219,806,022,807.56/202,513.50
  6. Step 6: Final answer
    x = 1,085,389.48

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.