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Finding the Third Proportional to 202,002 and 424,890

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Solution

The third proportional to 202,002 and 424,890 is: 893,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,002 : 424,890 = 424,890 : x
  2. Step 2: Convert to fraction form
    202,002/424,890 = 424,890/x
  3. Step 3: Cross multiply
    202,002x = 424,890 × 424,890
  4. Step 4: Simplify right side
    202,002x = 180,531,512,100
  5. Step 5: Solve for x
    x = 180,531,512,100/202,002
  6. Step 6: Final answer
    x = 893,711.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.