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Finding the Third Proportional to 212,751 and 314,925

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Solution

The third proportional to 212,751 and 314,925 is: 466,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,751 : 314,925 = 314,925 : x
  2. Step 2: Convert to fraction form
    212,751/314,925 = 314,925/x
  3. Step 3: Cross multiply
    212,751x = 314,925 × 314,925
  4. Step 4: Simplify right side
    212,751x = 99,177,755,625
  5. Step 5: Solve for x
    x = 99,177,755,625/212,751
  6. Step 6: Final answer
    x = 466,168.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.