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Finding the Third Proportional to 194,742 and 300,726

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Solution

The third proportional to 194,742 and 300,726 is: 464,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,742 : 300,726 = 300,726 : x
  2. Step 2: Convert to fraction form
    194,742/300,726 = 300,726/x
  3. Step 3: Cross multiply
    194,742x = 300,726 × 300,726
  4. Step 4: Simplify right side
    194,742x = 90,436,127,076
  5. Step 5: Solve for x
    x = 90,436,127,076/194,742
  6. Step 6: Final answer
    x = 464,389.43

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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.