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Finding the Third Proportional to 171,462 and 371,436

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Solution

The third proportional to 171,462 and 371,436 is: 804,637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,462 : 371,436 = 371,436 : x
  2. Step 2: Convert to fraction form
    171,462/371,436 = 371,436/x
  3. Step 3: Cross multiply
    171,462x = 371,436 × 371,436
  4. Step 4: Simplify right side
    171,462x = 137,964,702,096
  5. Step 5: Solve for x
    x = 137,964,702,096/171,462
  6. Step 6: Final answer
    x = 804,637.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.