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Finding the Third Proportional to 265,838 and 379,173

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Solution

The third proportional to 265,838 and 379,173 is: 540,826.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,838 : 379,173 = 379,173 : x
  2. Step 2: Convert to fraction form
    265,838/379,173 = 379,173/x
  3. Step 3: Cross multiply
    265,838x = 379,173 × 379,173
  4. Step 4: Simplify right side
    265,838x = 143,772,163,929
  5. Step 5: Solve for x
    x = 143,772,163,929/265,838
  6. Step 6: Final answer
    x = 540,826.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.