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Finding the Third Proportional to 197,792 and 306,074

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Solution

The third proportional to 197,792 and 306,074 is: 473,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,792 : 306,074 = 306,074 : x
  2. Step 2: Convert to fraction form
    197,792/306,074 = 306,074/x
  3. Step 3: Cross multiply
    197,792x = 306,074 × 306,074
  4. Step 4: Simplify right side
    197,792x = 93,681,293,476
  5. Step 5: Solve for x
    x = 93,681,293,476/197,792
  6. Step 6: Final answer
    x = 473,635.40

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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.