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Finding the Third Proportional to 191,928 and 406,002

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Solution

The third proportional to 191,928 and 406,002 is: 858,851.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,928 : 406,002 = 406,002 : x
  2. Step 2: Convert to fraction form
    191,928/406,002 = 406,002/x
  3. Step 3: Cross multiply
    191,928x = 406,002 × 406,002
  4. Step 4: Simplify right side
    191,928x = 164,837,624,004
  5. Step 5: Solve for x
    x = 164,837,624,004/191,928
  6. Step 6: Final answer
    x = 858,851.36

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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.