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Finding the Third Proportional to 103,364 and 223,252

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Solution

The third proportional to 103,364 and 223,252 is: 482,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,364 : 223,252 = 223,252 : x
  2. Step 2: Convert to fraction form
    103,364/223,252 = 223,252/x
  3. Step 3: Cross multiply
    103,364x = 223,252 × 223,252
  4. Step 4: Simplify right side
    103,364x = 49,841,455,504
  5. Step 5: Solve for x
    x = 49,841,455,504/103,364
  6. Step 6: Final answer
    x = 482,193.56

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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.