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Finding the Third Proportional to 214,635.94 and 466,147.13

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Solution

The third proportional to 214,635.94 and 466,147.13 is: 1,012,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,635.94 : 466,147.13 = 466,147.13 : x
  2. Step 2: Convert to fraction form
    214,635.94/466,147.13 = 466,147.13/x
  3. Step 3: Cross multiply
    214,635.94x = 466,147.13 × 466,147.13
  4. Step 4: Simplify right side
    214,635.94x = 217,293,142,145.77
  5. Step 5: Solve for x
    x = 217,293,142,145.77/214,635.94
  6. Step 6: Final answer
    x = 1,012,380.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.