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Finding the Third Proportional to 159,314 and 339,364

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Solution

The third proportional to 159,314 and 339,364 is: 722,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,314 : 339,364 = 339,364 : x
  2. Step 2: Convert to fraction form
    159,314/339,364 = 339,364/x
  3. Step 3: Cross multiply
    159,314x = 339,364 × 339,364
  4. Step 4: Simplify right side
    159,314x = 115,167,924,496
  5. Step 5: Solve for x
    x = 115,167,924,496/159,314
  6. Step 6: Final answer
    x = 722,898.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.