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Finding the Third Proportional to 194,511 and 295,764

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Solution

The third proportional to 194,511 and 295,764 is: 449,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,511 : 295,764 = 295,764 : x
  2. Step 2: Convert to fraction form
    194,511/295,764 = 295,764/x
  3. Step 3: Cross multiply
    194,511x = 295,764 × 295,764
  4. Step 4: Simplify right side
    194,511x = 87,476,343,696
  5. Step 5: Solve for x
    x = 87,476,343,696/194,511
  6. Step 6: Final answer
    x = 449,724.40

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