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Finding the Third Proportional to 214,002 and 317,925

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Solution

The third proportional to 214,002 and 317,925 is: 472,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,002 : 317,925 = 317,925 : x
  2. Step 2: Convert to fraction form
    214,002/317,925 = 317,925/x
  3. Step 3: Cross multiply
    214,002x = 317,925 × 317,925
  4. Step 4: Simplify right side
    214,002x = 101,076,305,625
  5. Step 5: Solve for x
    x = 101,076,305,625/214,002
  6. Step 6: Final answer
    x = 472,314.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.