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Finding the Third Proportional to 172,008 and 404,719

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Solution

The third proportional to 172,008 and 404,719 is: 952,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,008 : 404,719 = 404,719 : x
  2. Step 2: Convert to fraction form
    172,008/404,719 = 404,719/x
  3. Step 3: Cross multiply
    172,008x = 404,719 × 404,719
  4. Step 4: Simplify right side
    172,008x = 163,797,468,961
  5. Step 5: Solve for x
    x = 163,797,468,961/172,008
  6. Step 6: Final answer
    x = 952,266.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.