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Finding the Third Proportional to 166,776 and 258,630

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Solution

The third proportional to 166,776 and 258,630 is: 401,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,776 : 258,630 = 258,630 : x
  2. Step 2: Convert to fraction form
    166,776/258,630 = 258,630/x
  3. Step 3: Cross multiply
    166,776x = 258,630 × 258,630
  4. Step 4: Simplify right side
    166,776x = 66,889,476,900
  5. Step 5: Solve for x
    x = 66,889,476,900/166,776
  6. Step 6: Final answer
    x = 401,073.76

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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.