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Finding the Third Proportional to 226,858 and 348,219

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Solution

The third proportional to 226,858 and 348,219 is: 534,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,858 : 348,219 = 348,219 : x
  2. Step 2: Convert to fraction form
    226,858/348,219 = 348,219/x
  3. Step 3: Cross multiply
    226,858x = 348,219 × 348,219
  4. Step 4: Simplify right side
    226,858x = 121,256,471,961
  5. Step 5: Solve for x
    x = 121,256,471,961/226,858
  6. Step 6: Final answer
    x = 534,503.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.