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Finding the Third Proportional to 197,873 and 306,896

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Solution

The third proportional to 197,873 and 306,896 is: 475,987.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,873 : 306,896 = 306,896 : x
  2. Step 2: Convert to fraction form
    197,873/306,896 = 306,896/x
  3. Step 3: Cross multiply
    197,873x = 306,896 × 306,896
  4. Step 4: Simplify right side
    197,873x = 94,185,154,816
  5. Step 5: Solve for x
    x = 94,185,154,816/197,873
  6. Step 6: Final answer
    x = 475,987.91

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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.