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Finding the Third Proportional to 173,931 and 276,667.50

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Solution

The third proportional to 173,931 and 276,667.50 is: 440,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,931 : 276,667.50 = 276,667.50 : x
  2. Step 2: Convert to fraction form
    173,931/276,667.50 = 276,667.50/x
  3. Step 3: Cross multiply
    173,931x = 276,667.50 × 276,667.50
  4. Step 4: Simplify right side
    173,931x = 76,544,905,556.25
  5. Step 5: Solve for x
    x = 76,544,905,556.25/173,931
  6. Step 6: Final answer
    x = 440,087.77

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