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Finding the Third Proportional to 152,904 and 236,173

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Solution

The third proportional to 152,904 and 236,173 is: 364,788.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,904 : 236,173 = 236,173 : x
  2. Step 2: Convert to fraction form
    152,904/236,173 = 236,173/x
  3. Step 3: Cross multiply
    152,904x = 236,173 × 236,173
  4. Step 4: Simplify right side
    152,904x = 55,777,685,929
  5. Step 5: Solve for x
    x = 55,777,685,929/152,904
  6. Step 6: Final answer
    x = 364,788.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.