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Finding the Third Proportional to 155,893 and 336,698

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Solution

The third proportional to 155,893 and 336,698 is: 727,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,893 : 336,698 = 336,698 : x
  2. Step 2: Convert to fraction form
    155,893/336,698 = 336,698/x
  3. Step 3: Cross multiply
    155,893x = 336,698 × 336,698
  4. Step 4: Simplify right side
    155,893x = 113,365,543,204
  5. Step 5: Solve for x
    x = 113,365,543,204/155,893
  6. Step 6: Final answer
    x = 727,200.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.