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Finding the Third Proportional to 171,619 and 370,438

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Solution

The third proportional to 171,619 and 370,438 is: 799,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,619 : 370,438 = 370,438 : x
  2. Step 2: Convert to fraction form
    171,619/370,438 = 370,438/x
  3. Step 3: Cross multiply
    171,619x = 370,438 × 370,438
  4. Step 4: Simplify right side
    171,619x = 137,224,311,844
  5. Step 5: Solve for x
    x = 137,224,311,844/171,619
  6. Step 6: Final answer
    x = 799,586.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.