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Finding the Third Proportional to 194,112 and 427,320

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Solution

The third proportional to 194,112 and 427,320 is: 940,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,112 : 427,320 = 427,320 : x
  2. Step 2: Convert to fraction form
    194,112/427,320 = 427,320/x
  3. Step 3: Cross multiply
    194,112x = 427,320 × 427,320
  4. Step 4: Simplify right side
    194,112x = 182,602,382,400
  5. Step 5: Solve for x
    x = 182,602,382,400/194,112
  6. Step 6: Final answer
    x = 940,706.31

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Why These Related Problems?

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