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Finding the Third Proportional to 166,372 and 258,582

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Solution

The third proportional to 166,372 and 258,582 is: 401,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,372 : 258,582 = 258,582 : x
  2. Step 2: Convert to fraction form
    166,372/258,582 = 258,582/x
  3. Step 3: Cross multiply
    166,372x = 258,582 × 258,582
  4. Step 4: Simplify right side
    166,372x = 66,864,650,724
  5. Step 5: Solve for x
    x = 66,864,650,724/166,372
  6. Step 6: Final answer
    x = 401,898.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.