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Finding the Third Proportional to 166,998 and 258,612

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Solution

The third proportional to 166,998 and 258,612 is: 400,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,998 : 258,612 = 258,612 : x
  2. Step 2: Convert to fraction form
    166,998/258,612 = 258,612/x
  3. Step 3: Cross multiply
    166,998x = 258,612 × 258,612
  4. Step 4: Simplify right side
    166,998x = 66,880,166,544
  5. Step 5: Solve for x
    x = 66,880,166,544/166,998
  6. Step 6: Final answer
    x = 400,484.84

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