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Finding the Third Proportional to 223,980 and 349,608

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Solution

The third proportional to 223,980 and 349,608 is: 545,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,980 : 349,608 = 349,608 : x
  2. Step 2: Convert to fraction form
    223,980/349,608 = 349,608/x
  3. Step 3: Cross multiply
    223,980x = 349,608 × 349,608
  4. Step 4: Simplify right side
    223,980x = 122,225,753,664
  5. Step 5: Solve for x
    x = 122,225,753,664/223,980
  6. Step 6: Final answer
    x = 545,699.41

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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.