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Finding the Third Proportional to 194,116 and 427,256

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Solution

The third proportional to 194,116 and 427,256 is: 940,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,116 : 427,256 = 427,256 : x
  2. Step 2: Convert to fraction form
    194,116/427,256 = 427,256/x
  3. Step 3: Cross multiply
    194,116x = 427,256 × 427,256
  4. Step 4: Simplify right side
    194,116x = 182,547,689,536
  5. Step 5: Solve for x
    x = 182,547,689,536/194,116
  6. Step 6: Final answer
    x = 940,405.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.