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Finding the Third Proportional to 199,775 and 436,364.50

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Solution

The third proportional to 199,775 and 436,364.50 is: 953,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,775 : 436,364.50 = 436,364.50 : x
  2. Step 2: Convert to fraction form
    199,775/436,364.50 = 436,364.50/x
  3. Step 3: Cross multiply
    199,775x = 436,364.50 × 436,364.50
  4. Step 4: Simplify right side
    199,775x = 190,413,976,860.25
  5. Step 5: Solve for x
    x = 190,413,976,860.25/199,775
  6. Step 6: Final answer
    x = 953,142.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.