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Finding the Third Proportional to 197,694 and 306,342

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Solution

The third proportional to 197,694 and 306,342 is: 474,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,694 : 306,342 = 306,342 : x
  2. Step 2: Convert to fraction form
    197,694/306,342 = 306,342/x
  3. Step 3: Cross multiply
    197,694x = 306,342 × 306,342
  4. Step 4: Simplify right side
    197,694x = 93,845,420,964
  5. Step 5: Solve for x
    x = 93,845,420,964/197,694
  6. Step 6: Final answer
    x = 474,700.40

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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.