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Finding the Third Proportional to 200,993 and 319,939

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Solution

The third proportional to 200,993 and 319,939 is: 509,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,993 : 319,939 = 319,939 : x
  2. Step 2: Convert to fraction form
    200,993/319,939 = 319,939/x
  3. Step 3: Cross multiply
    200,993x = 319,939 × 319,939
  4. Step 4: Simplify right side
    200,993x = 102,360,963,721
  5. Step 5: Solve for x
    x = 102,360,963,721/200,993
  6. Step 6: Final answer
    x = 509,276.26

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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.