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Finding the Third Proportional to 173,193.19 and 275,796.56

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Solution

The third proportional to 173,193.19 and 275,796.56 is: 439,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,193.19 : 275,796.56 = 275,796.56 : x
  2. Step 2: Convert to fraction form
    173,193.19/275,796.56 = 275,796.56/x
  3. Step 3: Cross multiply
    173,193.19x = 275,796.56 × 275,796.56
  4. Step 4: Simplify right side
    173,193.19x = 76,063,743,886.82
  5. Step 5: Solve for x
    x = 76,063,743,886.82/173,193.19
  6. Step 6: Final answer
    x = 439,184.39

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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.