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Finding the Third Proportional to 190,432 and 418,225.50

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Solution

The third proportional to 190,432 and 418,225.50 is: 918,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,432 : 418,225.50 = 418,225.50 : x
  2. Step 2: Convert to fraction form
    190,432/418,225.50 = 418,225.50/x
  3. Step 3: Cross multiply
    190,432x = 418,225.50 × 418,225.50
  4. Step 4: Simplify right side
    190,432x = 174,912,568,850.25
  5. Step 5: Solve for x
    x = 174,912,568,850.25/190,432
  6. Step 6: Final answer
    x = 918,504.08

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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.