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Finding the Third Proportional to 200,975 and 319,913

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Solution

The third proportional to 200,975 and 319,913 is: 509,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,975 : 319,913 = 319,913 : x
  2. Step 2: Convert to fraction form
    200,975/319,913 = 319,913/x
  3. Step 3: Cross multiply
    200,975x = 319,913 × 319,913
  4. Step 4: Simplify right side
    200,975x = 102,344,327,569
  5. Step 5: Solve for x
    x = 102,344,327,569/200,975
  6. Step 6: Final answer
    x = 509,239.10

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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.