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Finding the Third Proportional to 190,390 and 418,150

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Solution

The third proportional to 190,390 and 418,150 is: 918,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,390 : 418,150 = 418,150 : x
  2. Step 2: Convert to fraction form
    190,390/418,150 = 418,150/x
  3. Step 3: Cross multiply
    190,390x = 418,150 × 418,150
  4. Step 4: Simplify right side
    190,390x = 174,849,422,500
  5. Step 5: Solve for x
    x = 174,849,422,500/190,390
  6. Step 6: Final answer
    x = 918,375.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.