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Finding the Third Proportional to 207,725 and 339,164

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Solution

The third proportional to 207,725 and 339,164 is: 553,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,725 : 339,164 = 339,164 : x
  2. Step 2: Convert to fraction form
    207,725/339,164 = 339,164/x
  3. Step 3: Cross multiply
    207,725x = 339,164 × 339,164
  4. Step 4: Simplify right side
    207,725x = 115,032,218,896
  5. Step 5: Solve for x
    x = 115,032,218,896/207,725
  6. Step 6: Final answer
    x = 553,771.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.