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Finding the Third Proportional to 173,238 and 270,796

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Solution

The third proportional to 173,238 and 270,796 is: 423,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,238 : 270,796 = 270,796 : x
  2. Step 2: Convert to fraction form
    173,238/270,796 = 270,796/x
  3. Step 3: Cross multiply
    173,238x = 270,796 × 270,796
  4. Step 4: Simplify right side
    173,238x = 73,330,473,616
  5. Step 5: Solve for x
    x = 73,330,473,616/173,238
  6. Step 6: Final answer
    x = 423,293.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.