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Finding the Third Proportional to 191,708 and 411,172

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Solution

The third proportional to 191,708 and 411,172 is: 881,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,708 : 411,172 = 411,172 : x
  2. Step 2: Convert to fraction form
    191,708/411,172 = 411,172/x
  3. Step 3: Cross multiply
    191,708x = 411,172 × 411,172
  4. Step 4: Simplify right side
    191,708x = 169,062,413,584
  5. Step 5: Solve for x
    x = 169,062,413,584/191,708
  6. Step 6: Final answer
    x = 881,874.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.