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Finding the Third Proportional to 199,623 and 300,244.50

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Solution

The third proportional to 199,623 and 300,244.50 is: 451,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,623 : 300,244.50 = 300,244.50 : x
  2. Step 2: Convert to fraction form
    199,623/300,244.50 = 300,244.50/x
  3. Step 3: Cross multiply
    199,623x = 300,244.50 × 300,244.50
  4. Step 4: Simplify right side
    199,623x = 90,146,759,780.25
  5. Step 5: Solve for x
    x = 90,146,759,780.25/199,623
  6. Step 6: Final answer
    x = 451,585.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.