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Finding the Third Proportional to 194,865 and 424,995

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Solution

The third proportional to 194,865 and 424,995 is: 926,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,865 : 424,995 = 424,995 : x
  2. Step 2: Convert to fraction form
    194,865/424,995 = 424,995/x
  3. Step 3: Cross multiply
    194,865x = 424,995 × 424,995
  4. Step 4: Simplify right side
    194,865x = 180,620,750,025
  5. Step 5: Solve for x
    x = 180,620,750,025/194,865
  6. Step 6: Final answer
    x = 926,901.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.