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Finding the Third Proportional to 103,674 and 223,692

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Solution

The third proportional to 103,674 and 223,692 is: 482,648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674 : 223,692 = 223,692 : x
  2. Step 2: Convert to fraction form
    103,674/223,692 = 223,692/x
  3. Step 3: Cross multiply
    103,674x = 223,692 × 223,692
  4. Step 4: Simplify right side
    103,674x = 50,038,110,864
  5. Step 5: Solve for x
    x = 50,038,110,864/103,674
  6. Step 6: Final answer
    x = 482,648.60

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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.