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Finding the Third Proportional to 190,233 and 412,168.50

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Solution

The third proportional to 190,233 and 412,168.50 is: 893,025.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,233 : 412,168.50 = 412,168.50 : x
  2. Step 2: Convert to fraction form
    190,233/412,168.50 = 412,168.50/x
  3. Step 3: Cross multiply
    190,233x = 412,168.50 × 412,168.50
  4. Step 4: Simplify right side
    190,233x = 169,882,872,392.25
  5. Step 5: Solve for x
    x = 169,882,872,392.25/190,233
  6. Step 6: Final answer
    x = 893,025.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.