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Finding the Third Proportional to 197,568 and 306,000

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Solution

The third proportional to 197,568 and 306,000 is: 473,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,568 : 306,000 = 306,000 : x
  2. Step 2: Convert to fraction form
    197,568/306,000 = 306,000/x
  3. Step 3: Cross multiply
    197,568x = 306,000 × 306,000
  4. Step 4: Simplify right side
    197,568x = 93,636,000,000
  5. Step 5: Solve for x
    x = 93,636,000,000/197,568
  6. Step 6: Final answer
    x = 473,943.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.