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Finding the Third Proportional to 193,344 and 298,784

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Solution

The third proportional to 193,344 and 298,784 is: 461,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,344 : 298,784 = 298,784 : x
  2. Step 2: Convert to fraction form
    193,344/298,784 = 298,784/x
  3. Step 3: Cross multiply
    193,344x = 298,784 × 298,784
  4. Step 4: Simplify right side
    193,344x = 89,271,878,656
  5. Step 5: Solve for x
    x = 89,271,878,656/193,344
  6. Step 6: Final answer
    x = 461,725.62

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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.