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Finding the Third Proportional to 193,371 and 298,803

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Solution

The third proportional to 193,371 and 298,803 is: 461,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,371 : 298,803 = 298,803 : x
  2. Step 2: Convert to fraction form
    193,371/298,803 = 298,803/x
  3. Step 3: Cross multiply
    193,371x = 298,803 × 298,803
  4. Step 4: Simplify right side
    193,371x = 89,283,232,809
  5. Step 5: Solve for x
    x = 89,283,232,809/193,371
  6. Step 6: Final answer
    x = 461,719.87

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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.