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Finding the Third Proportional to 194,562 and 300,475

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Solution

The third proportional to 194,562 and 300,475 is: 464,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,562 : 300,475 = 300,475 : x
  2. Step 2: Convert to fraction form
    194,562/300,475 = 300,475/x
  3. Step 3: Cross multiply
    194,562x = 300,475 × 300,475
  4. Step 4: Simplify right side
    194,562x = 90,285,225,625
  5. Step 5: Solve for x
    x = 90,285,225,625/194,562
  6. Step 6: Final answer
    x = 464,043.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.