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Finding the Third Proportional to 200,983 and 319,924

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Solution

The third proportional to 200,983 and 319,924 is: 509,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,983 : 319,924 = 319,924 : x
  2. Step 2: Convert to fraction form
    200,983/319,924 = 319,924/x
  3. Step 3: Cross multiply
    200,983x = 319,924 × 319,924
  4. Step 4: Simplify right side
    200,983x = 102,351,365,776
  5. Step 5: Solve for x
    x = 102,351,365,776/200,983
  6. Step 6: Final answer
    x = 509,253.85

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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.