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Finding the Third Proportional to 157,664 and 339,968

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Solution

The third proportional to 157,664 and 339,968 is: 733,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,664 : 339,968 = 339,968 : x
  2. Step 2: Convert to fraction form
    157,664/339,968 = 339,968/x
  3. Step 3: Cross multiply
    157,664x = 339,968 × 339,968
  4. Step 4: Simplify right side
    157,664x = 115,578,241,024
  5. Step 5: Solve for x
    x = 115,578,241,024/157,664
  6. Step 6: Final answer
    x = 733,066.78

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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.