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Finding the Third Proportional to 194,094 and 424,172

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Solution

The third proportional to 194,094 and 424,172 is: 926,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,094 : 424,172 = 424,172 : x
  2. Step 2: Convert to fraction form
    194,094/424,172 = 424,172/x
  3. Step 3: Cross multiply
    194,094x = 424,172 × 424,172
  4. Step 4: Simplify right side
    194,094x = 179,921,885,584
  5. Step 5: Solve for x
    x = 179,921,885,584/194,094
  6. Step 6: Final answer
    x = 926,983.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.