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Finding the Third Proportional to 173,203 and 275,813

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Solution

The third proportional to 173,203 and 275,813 is: 439,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,203 : 275,813 = 275,813 : x
  2. Step 2: Convert to fraction form
    173,203/275,813 = 275,813/x
  3. Step 3: Cross multiply
    173,203x = 275,813 × 275,813
  4. Step 4: Simplify right side
    173,203x = 76,072,810,969
  5. Step 5: Solve for x
    x = 76,072,810,969/173,203
  6. Step 6: Final answer
    x = 439,211.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.