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Finding the Third Proportional to 167,600 and 361,426

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Solution

The third proportional to 167,600 and 361,426 is: 779,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,600 : 361,426 = 361,426 : x
  2. Step 2: Convert to fraction form
    167,600/361,426 = 361,426/x
  3. Step 3: Cross multiply
    167,600x = 361,426 × 361,426
  4. Step 4: Simplify right side
    167,600x = 130,628,753,476
  5. Step 5: Solve for x
    x = 130,628,753,476/167,600
  6. Step 6: Final answer
    x = 779,407.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.