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Finding the Third Proportional to 214,912.50 and 461,534.50

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Solution

The third proportional to 214,912.50 and 461,534.50 is: 991,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,912.50 : 461,534.50 = 461,534.50 : x
  2. Step 2: Convert to fraction form
    214,912.50/461,534.50 = 461,534.50/x
  3. Step 3: Cross multiply
    214,912.50x = 461,534.50 × 461,534.50
  4. Step 4: Simplify right side
    214,912.50x = 213,014,094,690.25
  5. Step 5: Solve for x
    x = 213,014,094,690.25/214,912.50
  6. Step 6: Final answer
    x = 991,166.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.