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Finding the Third Proportional to 171,697 and 252,579

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Solution

The third proportional to 171,697 and 252,579 is: 371,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,697 : 252,579 = 252,579 : x
  2. Step 2: Convert to fraction form
    171,697/252,579 = 252,579/x
  3. Step 3: Cross multiply
    171,697x = 252,579 × 252,579
  4. Step 4: Simplify right side
    171,697x = 63,796,151,241
  5. Step 5: Solve for x
    x = 63,796,151,241/171,697
  6. Step 6: Final answer
    x = 371,562.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.