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Finding the Third Proportional to 191,892 and 301,008

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Solution

The third proportional to 191,892 and 301,008 is: 472,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,892 : 301,008 = 301,008 : x
  2. Step 2: Convert to fraction form
    191,892/301,008 = 301,008/x
  3. Step 3: Cross multiply
    191,892x = 301,008 × 301,008
  4. Step 4: Simplify right side
    191,892x = 90,605,816,064
  5. Step 5: Solve for x
    x = 90,605,816,064/191,892
  6. Step 6: Final answer
    x = 472,170.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.