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Finding the Third Proportional to 254,245.36 and 345,296.67

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Solution

The third proportional to 254,245.36 and 345,296.67 is: 468,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,245.36 : 345,296.67 = 345,296.67 : x
  2. Step 2: Convert to fraction form
    254,245.36/345,296.67 = 345,296.67/x
  3. Step 3: Cross multiply
    254,245.36x = 345,296.67 × 345,296.67
  4. Step 4: Simplify right side
    254,245.36x = 119,229,791,607.95
  5. Step 5: Solve for x
    x = 119,229,791,607.95/254,245.36
  6. Step 6: Final answer
    x = 468,955.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.