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Finding the Third Proportional to 197,546 and 305,967

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Solution

The third proportional to 197,546 and 305,967 is: 473,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,546 : 305,967 = 305,967 : x
  2. Step 2: Convert to fraction form
    197,546/305,967 = 305,967/x
  3. Step 3: Cross multiply
    197,546x = 305,967 × 305,967
  4. Step 4: Simplify right side
    197,546x = 93,615,805,089
  5. Step 5: Solve for x
    x = 93,615,805,089/197,546
  6. Step 6: Final answer
    x = 473,893.70

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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.