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Finding the Third Proportional to 197,443.13 and 306,284.63

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Solution

The third proportional to 197,443.13 and 306,284.63 is: 475,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,443.13 : 306,284.63 = 306,284.63 : x
  2. Step 2: Convert to fraction form
    197,443.13/306,284.63 = 306,284.63/x
  3. Step 3: Cross multiply
    197,443.13x = 306,284.63 × 306,284.63
  4. Step 4: Simplify right side
    197,443.13x = 93,810,271,511.39
  5. Step 5: Solve for x
    x = 93,810,271,511.39/197,443.13
  6. Step 6: Final answer
    x = 475,125.54

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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.