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Finding the Third Proportional to 190,563 and 261,544.50

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Solution

The third proportional to 190,563 and 261,544.50 is: 358,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,563 : 261,544.50 = 261,544.50 : x
  2. Step 2: Convert to fraction form
    190,563/261,544.50 = 261,544.50/x
  3. Step 3: Cross multiply
    190,563x = 261,544.50 × 261,544.50
  4. Step 4: Simplify right side
    190,563x = 68,405,525,480.25
  5. Step 5: Solve for x
    x = 68,405,525,480.25/190,563
  6. Step 6: Final answer
    x = 358,965.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.