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Finding the Third Proportional to 168,384 and 371,904

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Solution

The third proportional to 168,384 and 371,904 is: 821,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,384 : 371,904 = 371,904 : x
  2. Step 2: Convert to fraction form
    168,384/371,904 = 371,904/x
  3. Step 3: Cross multiply
    168,384x = 371,904 × 371,904
  4. Step 4: Simplify right side
    168,384x = 138,312,585,216
  5. Step 5: Solve for x
    x = 138,312,585,216/168,384
  6. Step 6: Final answer
    x = 821,411.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.