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Finding the Third Proportional to 167,864 and 260,304

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Solution

The third proportional to 167,864 and 260,304 is: 403,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,864 : 260,304 = 260,304 : x
  2. Step 2: Convert to fraction form
    167,864/260,304 = 260,304/x
  3. Step 3: Cross multiply
    167,864x = 260,304 × 260,304
  4. Step 4: Simplify right side
    167,864x = 67,758,172,416
  5. Step 5: Solve for x
    x = 67,758,172,416/167,864
  6. Step 6: Final answer
    x = 403,649.22

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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.