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Finding the Third Proportional to 193,500 and 299,006

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Solution

The third proportional to 193,500 and 299,006 is: 462,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,500 : 299,006 = 299,006 : x
  2. Step 2: Convert to fraction form
    193,500/299,006 = 299,006/x
  3. Step 3: Cross multiply
    193,500x = 299,006 × 299,006
  4. Step 4: Simplify right side
    193,500x = 89,404,588,036
  5. Step 5: Solve for x
    x = 89,404,588,036/193,500
  6. Step 6: Final answer
    x = 462,039.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.