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Finding the Third Proportional to 202,500 and 468,801

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Solution

The third proportional to 202,500 and 468,801 is: 1,085,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,500 : 468,801 = 468,801 : x
  2. Step 2: Convert to fraction form
    202,500/468,801 = 468,801/x
  3. Step 3: Cross multiply
    202,500x = 468,801 × 468,801
  4. Step 4: Simplify right side
    202,500x = 219,774,377,601
  5. Step 5: Solve for x
    x = 219,774,377,601/202,500
  6. Step 6: Final answer
    x = 1,085,305.57

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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.