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Finding the Third Proportional to 197,703 and 306,386

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Solution

The third proportional to 197,703 and 306,386 is: 474,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,703 : 306,386 = 306,386 : x
  2. Step 2: Convert to fraction form
    197,703/306,386 = 306,386/x
  3. Step 3: Cross multiply
    197,703x = 306,386 × 306,386
  4. Step 4: Simplify right side
    197,703x = 93,872,380,996
  5. Step 5: Solve for x
    x = 93,872,380,996/197,703
  6. Step 6: Final answer
    x = 474,815.16

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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.