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Finding the Third Proportional to 200,962 and 319,894

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Solution

The third proportional to 200,962 and 319,894 is: 509,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,962 : 319,894 = 319,894 : x
  2. Step 2: Convert to fraction form
    200,962/319,894 = 319,894/x
  3. Step 3: Cross multiply
    200,962x = 319,894 × 319,894
  4. Step 4: Simplify right side
    200,962x = 102,332,171,236
  5. Step 5: Solve for x
    x = 102,332,171,236/200,962
  6. Step 6: Final answer
    x = 509,211.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.