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Finding the Third Proportional to 187,441 and 404,816

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Solution

The third proportional to 187,441 and 404,816 is: 874,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,441 : 404,816 = 404,816 : x
  2. Step 2: Convert to fraction form
    187,441/404,816 = 404,816/x
  3. Step 3: Cross multiply
    187,441x = 404,816 × 404,816
  4. Step 4: Simplify right side
    187,441x = 163,875,993,856
  5. Step 5: Solve for x
    x = 163,875,993,856/187,441
  6. Step 6: Final answer
    x = 874,280.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.