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Finding the Third Proportional to 214,652 and 330,078

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Solution

The third proportional to 214,652 and 330,078 is: 507,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,652 : 330,078 = 330,078 : x
  2. Step 2: Convert to fraction form
    214,652/330,078 = 330,078/x
  3. Step 3: Cross multiply
    214,652x = 330,078 × 330,078
  4. Step 4: Simplify right side
    214,652x = 108,951,486,084
  5. Step 5: Solve for x
    x = 108,951,486,084/214,652
  6. Step 6: Final answer
    x = 507,572.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.