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Finding the Third Proportional to 246,271 and 374,372

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Solution

The third proportional to 246,271 and 374,372 is: 569,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,271 : 374,372 = 374,372 : x
  2. Step 2: Convert to fraction form
    246,271/374,372 = 374,372/x
  3. Step 3: Cross multiply
    246,271x = 374,372 × 374,372
  4. Step 4: Simplify right side
    246,271x = 140,154,394,384
  5. Step 5: Solve for x
    x = 140,154,394,384/246,271
  6. Step 6: Final answer
    x = 569,106.37

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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.