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Finding the Third Proportional to 197,447.63 and 306,291.38

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Solution

The third proportional to 197,447.63 and 306,291.38 is: 475,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,447.63 : 306,291.38 = 306,291.38 : x
  2. Step 2: Convert to fraction form
    197,447.63/306,291.38 = 306,291.38/x
  3. Step 3: Cross multiply
    197,447.63x = 306,291.38 × 306,291.38
  4. Step 4: Simplify right side
    197,447.63x = 93,814,406,399.39
  5. Step 5: Solve for x
    x = 93,814,406,399.39/197,447.63
  6. Step 6: Final answer
    x = 475,135.65

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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.