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Finding the Third Proportional to 198,146.25 and 306,939.38

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Solution

The third proportional to 198,146.25 and 306,939.38 is: 475,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,146.25 : 306,939.38 = 306,939.38 : x
  2. Step 2: Convert to fraction form
    198,146.25/306,939.38 = 306,939.38/x
  3. Step 3: Cross multiply
    198,146.25x = 306,939.38 × 306,939.38
  4. Step 4: Simplify right side
    198,146.25x = 94,211,779,925.39
  5. Step 5: Solve for x
    x = 94,211,779,925.39/198,146.25
  6. Step 6: Final answer
    x = 475,465.87

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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.