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Finding the Third Proportional to 211,708 and 337,002

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Solution

The third proportional to 211,708 and 337,002 is: 536,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,708 : 337,002 = 337,002 : x
  2. Step 2: Convert to fraction form
    211,708/337,002 = 337,002/x
  3. Step 3: Cross multiply
    211,708x = 337,002 × 337,002
  4. Step 4: Simplify right side
    211,708x = 113,570,348,004
  5. Step 5: Solve for x
    x = 113,570,348,004/211,708
  6. Step 6: Final answer
    x = 536,448.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.