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Finding the Third Proportional to 166,085 and 257,871

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Solution

The third proportional to 166,085 and 257,871 is: 400,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,085 : 257,871 = 257,871 : x
  2. Step 2: Convert to fraction form
    166,085/257,871 = 257,871/x
  3. Step 3: Cross multiply
    166,085x = 257,871 × 257,871
  4. Step 4: Simplify right side
    166,085x = 66,497,452,641
  5. Step 5: Solve for x
    x = 66,497,452,641/166,085
  6. Step 6: Final answer
    x = 400,382.05

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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.