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Finding the Third Proportional to 192,963 and 298,196

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Solution

The third proportional to 192,963 and 298,196 is: 460,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,963 : 298,196 = 298,196 : x
  2. Step 2: Convert to fraction form
    192,963/298,196 = 298,196/x
  3. Step 3: Cross multiply
    192,963x = 298,196 × 298,196
  4. Step 4: Simplify right side
    192,963x = 88,920,854,416
  5. Step 5: Solve for x
    x = 88,920,854,416/192,963
  6. Step 6: Final answer
    x = 460,818.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.