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Finding the Third Proportional to 167,510 and 255,855

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Solution

The third proportional to 167,510 and 255,855 is: 390,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,510 : 255,855 = 255,855 : x
  2. Step 2: Convert to fraction form
    167,510/255,855 = 255,855/x
  3. Step 3: Cross multiply
    167,510x = 255,855 × 255,855
  4. Step 4: Simplify right side
    167,510x = 65,461,781,025
  5. Step 5: Solve for x
    x = 65,461,781,025/167,510
  6. Step 6: Final answer
    x = 390,793.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.