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Finding the Third Proportional to 194,722 and 300,681

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Solution

The third proportional to 194,722 and 300,681 is: 464,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,722 : 300,681 = 300,681 : x
  2. Step 2: Convert to fraction form
    194,722/300,681 = 300,681/x
  3. Step 3: Cross multiply
    194,722x = 300,681 × 300,681
  4. Step 4: Simplify right side
    194,722x = 90,409,063,761
  5. Step 5: Solve for x
    x = 90,409,063,761/194,722
  6. Step 6: Final answer
    x = 464,298.15

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