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Finding the Third Proportional to 190,995 and 290,644.50

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Solution

The third proportional to 190,995 and 290,644.50 is: 442,285.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,995 : 290,644.50 = 290,644.50 : x
  2. Step 2: Convert to fraction form
    190,995/290,644.50 = 290,644.50/x
  3. Step 3: Cross multiply
    190,995x = 290,644.50 × 290,644.50
  4. Step 4: Simplify right side
    190,995x = 84,474,225,380.25
  5. Step 5: Solve for x
    x = 84,474,225,380.25/190,995
  6. Step 6: Final answer
    x = 442,285.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.