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Finding the Third Proportional to 191,109 and 404,970

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Solution

The third proportional to 191,109 and 404,970 is: 858,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,109 : 404,970 = 404,970 : x
  2. Step 2: Convert to fraction form
    191,109/404,970 = 404,970/x
  3. Step 3: Cross multiply
    191,109x = 404,970 × 404,970
  4. Step 4: Simplify right side
    191,109x = 164,000,700,900
  5. Step 5: Solve for x
    x = 164,000,700,900/191,109
  6. Step 6: Final answer
    x = 858,152.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.