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Finding the Third Proportional to 197,472 and 305,856

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Solution

The third proportional to 197,472 and 305,856 is: 473,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,472 : 305,856 = 305,856 : x
  2. Step 2: Convert to fraction form
    197,472/305,856 = 305,856/x
  3. Step 3: Cross multiply
    197,472x = 305,856 × 305,856
  4. Step 4: Simplify right side
    197,472x = 93,547,892,736
  5. Step 5: Solve for x
    x = 93,547,892,736/197,472
  6. Step 6: Final answer
    x = 473,727.38

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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.