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Finding the Third Proportional to 194,571 and 295,843.50

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Solution

The third proportional to 194,571 and 295,843.50 is: 449,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,571 : 295,843.50 = 295,843.50 : x
  2. Step 2: Convert to fraction form
    194,571/295,843.50 = 295,843.50/x
  3. Step 3: Cross multiply
    194,571x = 295,843.50 × 295,843.50
  4. Step 4: Simplify right side
    194,571x = 87,523,376,492.25
  5. Step 5: Solve for x
    x = 87,523,376,492.25/194,571
  6. Step 6: Final answer
    x = 449,827.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.