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Finding the Third Proportional to 211,710 and 337,005

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Solution

The third proportional to 211,710 and 337,005 is: 536,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,710 : 337,005 = 337,005 : x
  2. Step 2: Convert to fraction form
    211,710/337,005 = 337,005/x
  3. Step 3: Cross multiply
    211,710x = 337,005 × 337,005
  4. Step 4: Simplify right side
    211,710x = 113,572,370,025
  5. Step 5: Solve for x
    x = 113,572,370,025/211,710
  6. Step 6: Final answer
    x = 536,452.55

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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.