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Finding the Third Proportional to 193,968 and 424,008

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Solution

The third proportional to 193,968 and 424,008 is: 926,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,968 : 424,008 = 424,008 : x
  2. Step 2: Convert to fraction form
    193,968/424,008 = 424,008/x
  3. Step 3: Cross multiply
    193,968x = 424,008 × 424,008
  4. Step 4: Simplify right side
    193,968x = 179,782,784,064
  5. Step 5: Solve for x
    x = 179,782,784,064/193,968
  6. Step 6: Final answer
    x = 926,868.27

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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.