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Finding the Third Proportional to 191,788 and 300,857

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Solution

The third proportional to 191,788 and 300,857 is: 471,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,788 : 300,857 = 300,857 : x
  2. Step 2: Convert to fraction form
    191,788/300,857 = 300,857/x
  3. Step 3: Cross multiply
    191,788x = 300,857 × 300,857
  4. Step 4: Simplify right side
    191,788x = 90,514,934,449
  5. Step 5: Solve for x
    x = 90,514,934,449/191,788
  6. Step 6: Final answer
    x = 471,953.07

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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.