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Finding the Third Proportional to 157,223 and 339,475

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Solution

The third proportional to 157,223 and 339,475 is: 732,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,223 : 339,475 = 339,475 : x
  2. Step 2: Convert to fraction form
    157,223/339,475 = 339,475/x
  3. Step 3: Cross multiply
    157,223x = 339,475 × 339,475
  4. Step 4: Simplify right side
    157,223x = 115,243,275,625
  5. Step 5: Solve for x
    x = 115,243,275,625/157,223
  6. Step 6: Final answer
    x = 732,992.47

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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.