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Finding the Third Proportional to 173,076.75 and 354,780

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Solution

The third proportional to 173,076.75 and 354,780 is: 727,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,076.75 : 354,780 = 354,780 : x
  2. Step 2: Convert to fraction form
    173,076.75/354,780 = 354,780/x
  3. Step 3: Cross multiply
    173,076.75x = 354,780 × 354,780
  4. Step 4: Simplify right side
    173,076.75x = 125,868,848,400
  5. Step 5: Solve for x
    x = 125,868,848,400/173,076.75
  6. Step 6: Final answer
    x = 727,242.96

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.