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Finding the Third Proportional to 166,470 and 366,871

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Solution

The third proportional to 166,470 and 366,871 is: 808,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,470 : 366,871 = 366,871 : x
  2. Step 2: Convert to fraction form
    166,470/366,871 = 366,871/x
  3. Step 3: Cross multiply
    166,470x = 366,871 × 366,871
  4. Step 4: Simplify right side
    166,470x = 134,594,330,641
  5. Step 5: Solve for x
    x = 134,594,330,641/166,470
  6. Step 6: Final answer
    x = 808,520.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.