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Finding the Third Proportional to 193,156 and 298,482

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Solution

The third proportional to 193,156 and 298,482 is: 461,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,156 : 298,482 = 298,482 : x
  2. Step 2: Convert to fraction form
    193,156/298,482 = 298,482/x
  3. Step 3: Cross multiply
    193,156x = 298,482 × 298,482
  4. Step 4: Simplify right side
    193,156x = 89,091,504,324
  5. Step 5: Solve for x
    x = 89,091,504,324/193,156
  6. Step 6: Final answer
    x = 461,241.20

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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.