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Finding the Third Proportional to 193,494 and 298,985

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Solution

The third proportional to 193,494 and 298,985 is: 461,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,494 : 298,985 = 298,985 : x
  2. Step 2: Convert to fraction form
    193,494/298,985 = 298,985/x
  3. Step 3: Cross multiply
    193,494x = 298,985 × 298,985
  4. Step 4: Simplify right side
    193,494x = 89,392,030,225
  5. Step 5: Solve for x
    x = 89,392,030,225/193,494
  6. Step 6: Final answer
    x = 461,988.64

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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.