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Finding the Third Proportional to 214,628 and 332,025

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Solution

The third proportional to 214,628 and 332,025 is: 513,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,628 : 332,025 = 332,025 : x
  2. Step 2: Convert to fraction form
    214,628/332,025 = 332,025/x
  3. Step 3: Cross multiply
    214,628x = 332,025 × 332,025
  4. Step 4: Simplify right side
    214,628x = 110,240,600,625
  5. Step 5: Solve for x
    x = 110,240,600,625/214,628
  6. Step 6: Final answer
    x = 513,635.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.