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Finding the Third Proportional to 194,607 and 421,199.25

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Solution

The third proportional to 194,607 and 421,199.25 is: 911,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,607 : 421,199.25 = 421,199.25 : x
  2. Step 2: Convert to fraction form
    194,607/421,199.25 = 421,199.25/x
  3. Step 3: Cross multiply
    194,607x = 421,199.25 × 421,199.25
  4. Step 4: Simplify right side
    194,607x = 177,408,808,200.56
  5. Step 5: Solve for x
    x = 177,408,808,200.56/194,607
  6. Step 6: Final answer
    x = 911,626.04

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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.