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Finding the Third Proportional to 166,364 and 255,971.50

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Solution

The third proportional to 166,364 and 255,971.50 is: 393,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,364 : 255,971.50 = 255,971.50 : x
  2. Step 2: Convert to fraction form
    166,364/255,971.50 = 255,971.50/x
  3. Step 3: Cross multiply
    166,364x = 255,971.50 × 255,971.50
  4. Step 4: Simplify right side
    166,364x = 65,521,408,812.25
  5. Step 5: Solve for x
    x = 65,521,408,812.25/166,364
  6. Step 6: Final answer
    x = 393,843.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.