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Finding the Third Proportional to 230,835.50 and 345,333

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Solution

The third proportional to 230,835.50 and 345,333 is: 516,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,835.50 : 345,333 = 345,333 : x
  2. Step 2: Convert to fraction form
    230,835.50/345,333 = 345,333/x
  3. Step 3: Cross multiply
    230,835.50x = 345,333 × 345,333
  4. Step 4: Simplify right side
    230,835.50x = 119,254,880,889
  5. Step 5: Solve for x
    x = 119,254,880,889/230,835.50
  6. Step 6: Final answer
    x = 516,622.79

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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.