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Finding the Third Proportional to 197,790 and 306,071

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Solution

The third proportional to 197,790 and 306,071 is: 473,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,790 : 306,071 = 306,071 : x
  2. Step 2: Convert to fraction form
    197,790/306,071 = 306,071/x
  3. Step 3: Cross multiply
    197,790x = 306,071 × 306,071
  4. Step 4: Simplify right side
    197,790x = 93,679,457,041
  5. Step 5: Solve for x
    x = 93,679,457,041/197,790
  6. Step 6: Final answer
    x = 473,630.91

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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.