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Finding the Third Proportional to 175,302 and 381,361

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Solution

The third proportional to 175,302 and 381,361 is: 829,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,302 : 381,361 = 381,361 : x
  2. Step 2: Convert to fraction form
    175,302/381,361 = 381,361/x
  3. Step 3: Cross multiply
    175,302x = 381,361 × 381,361
  4. Step 4: Simplify right side
    175,302x = 145,436,212,321
  5. Step 5: Solve for x
    x = 145,436,212,321/175,302
  6. Step 6: Final answer
    x = 829,632.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.