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Finding the Third Proportional to 191,893 and 301,009

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Solution

The third proportional to 191,893 and 301,009 is: 472,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,893 : 301,009 = 301,009 : x
  2. Step 2: Convert to fraction form
    191,893/301,009 = 301,009/x
  3. Step 3: Cross multiply
    191,893x = 301,009 × 301,009
  4. Step 4: Simplify right side
    191,893x = 90,606,418,081
  5. Step 5: Solve for x
    x = 90,606,418,081/191,893
  6. Step 6: Final answer
    x = 472,171.56

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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.