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Finding the Third Proportional to 157,288 and 339,604

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Solution

The third proportional to 157,288 and 339,604 is: 733,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,288 : 339,604 = 339,604 : x
  2. Step 2: Convert to fraction form
    157,288/339,604 = 339,604/x
  3. Step 3: Cross multiply
    157,288x = 339,604 × 339,604
  4. Step 4: Simplify right side
    157,288x = 115,330,876,816
  5. Step 5: Solve for x
    x = 115,330,876,816/157,288
  6. Step 6: Final answer
    x = 733,246.51

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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.