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Finding the Third Proportional to 171,672 and 262,614

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Solution

The third proportional to 171,672 and 262,614 is: 401,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,672 : 262,614 = 262,614 : x
  2. Step 2: Convert to fraction form
    171,672/262,614 = 262,614/x
  3. Step 3: Cross multiply
    171,672x = 262,614 × 262,614
  4. Step 4: Simplify right side
    171,672x = 68,966,112,996
  5. Step 5: Solve for x
    x = 68,966,112,996/171,672
  6. Step 6: Final answer
    x = 401,731.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.