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Finding the Third Proportional to 103,546 and 223,403

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Solution

The third proportional to 103,546 and 223,403 is: 481,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,546 : 223,403 = 223,403 : x
  2. Step 2: Convert to fraction form
    103,546/223,403 = 223,403/x
  3. Step 3: Cross multiply
    103,546x = 223,403 × 223,403
  4. Step 4: Simplify right side
    103,546x = 49,908,900,409
  5. Step 5: Solve for x
    x = 49,908,900,409/103,546
  6. Step 6: Final answer
    x = 481,997.38

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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.