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Finding the Third Proportional to 200,956.50 and 319,884.75

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Solution

The third proportional to 200,956.50 and 319,884.75 is: 509,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,956.50 : 319,884.75 = 319,884.75 : x
  2. Step 2: Convert to fraction form
    200,956.50/319,884.75 = 319,884.75/x
  3. Step 3: Cross multiply
    200,956.50x = 319,884.75 × 319,884.75
  4. Step 4: Simplify right side
    200,956.50x = 102,326,253,282.56
  5. Step 5: Solve for x
    x = 102,326,253,282.56/200,956.50
  6. Step 6: Final answer
    x = 509,196.04

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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.