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Finding the Third Proportional to 193,966 and 301,038

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Solution

The third proportional to 193,966 and 301,038 is: 467,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,966 : 301,038 = 301,038 : x
  2. Step 2: Convert to fraction form
    193,966/301,038 = 301,038/x
  3. Step 3: Cross multiply
    193,966x = 301,038 × 301,038
  4. Step 4: Simplify right side
    193,966x = 90,623,877,444
  5. Step 5: Solve for x
    x = 90,623,877,444/193,966
  6. Step 6: Final answer
    x = 467,215.27

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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.