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Finding the Third Proportional to 200,968 and 319,901

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Solution

The third proportional to 200,968 and 319,901 is: 509,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,968 : 319,901 = 319,901 : x
  2. Step 2: Convert to fraction form
    200,968/319,901 = 319,901/x
  3. Step 3: Cross multiply
    200,968x = 319,901 × 319,901
  4. Step 4: Simplify right side
    200,968x = 102,336,649,801
  5. Step 5: Solve for x
    x = 102,336,649,801/200,968
  6. Step 6: Final answer
    x = 509,218.63

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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.