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Finding the Third Proportional to 190,235 and 284,833

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Solution

The third proportional to 190,235 and 284,833 is: 426,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,235 : 284,833 = 284,833 : x
  2. Step 2: Convert to fraction form
    190,235/284,833 = 284,833/x
  3. Step 3: Cross multiply
    190,235x = 284,833 × 284,833
  4. Step 4: Simplify right side
    190,235x = 81,129,837,889
  5. Step 5: Solve for x
    x = 81,129,837,889/190,235
  6. Step 6: Final answer
    x = 426,471.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.