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Finding the Third Proportional to 158,544 and 343,224

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Solution

The third proportional to 158,544 and 343,224 is: 743,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,544 : 343,224 = 343,224 : x
  2. Step 2: Convert to fraction form
    158,544/343,224 = 343,224/x
  3. Step 3: Cross multiply
    158,544x = 343,224 × 343,224
  4. Step 4: Simplify right side
    158,544x = 117,802,714,176
  5. Step 5: Solve for x
    x = 117,802,714,176/158,544
  6. Step 6: Final answer
    x = 743,028.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.