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Finding the Third Proportional to 172,898 and 262,902

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Solution

The third proportional to 172,898 and 262,902 is: 399,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,898 : 262,902 = 262,902 : x
  2. Step 2: Convert to fraction form
    172,898/262,902 = 262,902/x
  3. Step 3: Cross multiply
    172,898x = 262,902 × 262,902
  4. Step 4: Simplify right side
    172,898x = 69,117,461,604
  5. Step 5: Solve for x
    x = 69,117,461,604/172,898
  6. Step 6: Final answer
    x = 399,758.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.