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Finding the Third Proportional to 214,984.50 and 460,099.50

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Solution

The third proportional to 214,984.50 and 460,099.50 is: 984,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,984.50 : 460,099.50 = 460,099.50 : x
  2. Step 2: Convert to fraction form
    214,984.50/460,099.50 = 460,099.50/x
  3. Step 3: Cross multiply
    214,984.50x = 460,099.50 × 460,099.50
  4. Step 4: Simplify right side
    214,984.50x = 211,691,549,900.25
  5. Step 5: Solve for x
    x = 211,691,549,900.25/214,984.50
  6. Step 6: Final answer
    x = 984,682.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.