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Finding the Third Proportional to 157,519 and 339,925

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Solution

The third proportional to 157,519 and 339,925 is: 733,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,519 : 339,925 = 339,925 : x
  2. Step 2: Convert to fraction form
    157,519/339,925 = 339,925/x
  3. Step 3: Cross multiply
    157,519x = 339,925 × 339,925
  4. Step 4: Simplify right side
    157,519x = 115,549,005,625
  5. Step 5: Solve for x
    x = 115,549,005,625/157,519
  6. Step 6: Final answer
    x = 733,555.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.