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Finding the Third Proportional to 144,831 and 302,904

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Solution

The third proportional to 144,831 and 302,904 is: 633,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,831 : 302,904 = 302,904 : x
  2. Step 2: Convert to fraction form
    144,831/302,904 = 302,904/x
  3. Step 3: Cross multiply
    144,831x = 302,904 × 302,904
  4. Step 4: Simplify right side
    144,831x = 91,750,833,216
  5. Step 5: Solve for x
    x = 91,750,833,216/144,831
  6. Step 6: Final answer
    x = 633,502.73

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.