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Finding the Third Proportional to 230,836 and 345,334

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Solution

The third proportional to 230,836 and 345,334 is: 516,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,836 : 345,334 = 345,334 : x
  2. Step 2: Convert to fraction form
    230,836/345,334 = 345,334/x
  3. Step 3: Cross multiply
    230,836x = 345,334 × 345,334
  4. Step 4: Simplify right side
    230,836x = 119,255,571,556
  5. Step 5: Solve for x
    x = 119,255,571,556/230,836
  6. Step 6: Final answer
    x = 516,624.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.