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Finding the Third Proportional to 149,863.50 and 211,064.06

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Solution

The third proportional to 149,863.50 and 211,064.06 is: 297,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863.50 : 211,064.06 = 211,064.06 : x
  2. Step 2: Convert to fraction form
    149,863.50/211,064.06 = 211,064.06/x
  3. Step 3: Cross multiply
    149,863.50x = 211,064.06 × 211,064.06
  4. Step 4: Simplify right side
    149,863.50x = 44,548,038,479.00
  5. Step 5: Solve for x
    x = 44,548,038,479.00/149,863.50
  6. Step 6: Final answer
    x = 297,257.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.