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Finding the Third Proportional to 187,445 and 404,824

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Solution

The third proportional to 187,445 and 404,824 is: 874,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,445 : 404,824 = 404,824 : x
  2. Step 2: Convert to fraction form
    187,445/404,824 = 404,824/x
  3. Step 3: Cross multiply
    187,445x = 404,824 × 404,824
  4. Step 4: Simplify right side
    187,445x = 163,882,470,976
  5. Step 5: Solve for x
    x = 163,882,470,976/187,445
  6. Step 6: Final answer
    x = 874,296.31

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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.