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Finding the Third Proportional to 157,144 and 339,392

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Solution

The third proportional to 157,144 and 339,392 is: 733,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,144 : 339,392 = 339,392 : x
  2. Step 2: Convert to fraction form
    157,144/339,392 = 339,392/x
  3. Step 3: Cross multiply
    157,144x = 339,392 × 339,392
  4. Step 4: Simplify right side
    157,144x = 115,186,929,664
  5. Step 5: Solve for x
    x = 115,186,929,664/157,144
  6. Step 6: Final answer
    x = 733,002.40

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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.