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Finding the Third Proportional to 193,124.25 and 298,434.38

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Solution

The third proportional to 193,124.25 and 298,434.38 is: 461,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,124.25 : 298,434.38 = 298,434.38 : x
  2. Step 2: Convert to fraction form
    193,124.25/298,434.38 = 298,434.38/x
  3. Step 3: Cross multiply
    193,124.25x = 298,434.38 × 298,434.38
  4. Step 4: Simplify right side
    193,124.25x = 89,063,076,181.64
  5. Step 5: Solve for x
    x = 89,063,076,181.64/193,124.25
  6. Step 6: Final answer
    x = 461,169.82

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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.