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Finding the Third Proportional to 103,692 and 223,321

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Solution

The third proportional to 103,692 and 223,321 is: 480,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,692 : 223,321 = 223,321 : x
  2. Step 2: Convert to fraction form
    103,692/223,321 = 223,321/x
  3. Step 3: Cross multiply
    103,692x = 223,321 × 223,321
  4. Step 4: Simplify right side
    103,692x = 49,872,269,041
  5. Step 5: Solve for x
    x = 49,872,269,041/103,692
  6. Step 6: Final answer
    x = 480,965.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.