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Finding the Third Proportional to 200,961.75 and 319,893

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Solution

The third proportional to 200,961.75 and 319,893 is: 509,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,961.75 : 319,893 = 319,893 : x
  2. Step 2: Convert to fraction form
    200,961.75/319,893 = 319,893/x
  3. Step 3: Cross multiply
    200,961.75x = 319,893 × 319,893
  4. Step 4: Simplify right side
    200,961.75x = 102,331,531,449
  5. Step 5: Solve for x
    x = 102,331,531,449/200,961.75
  6. Step 6: Final answer
    x = 509,209.00

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