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Finding the Third Proportional to 197,574 and 306,387

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Solution

The third proportional to 197,574 and 306,387 is: 475,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,574 : 306,387 = 306,387 : x
  2. Step 2: Convert to fraction form
    197,574/306,387 = 306,387/x
  3. Step 3: Cross multiply
    197,574x = 306,387 × 306,387
  4. Step 4: Simplify right side
    197,574x = 93,872,993,769
  5. Step 5: Solve for x
    x = 93,872,993,769/197,574
  6. Step 6: Final answer
    x = 475,128.27

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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.