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Finding the Third Proportional to 230,039 and 353,090.50

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Solution

The third proportional to 230,039 and 353,090.50 is: 541,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,039 : 353,090.50 = 353,090.50 : x
  2. Step 2: Convert to fraction form
    230,039/353,090.50 = 353,090.50/x
  3. Step 3: Cross multiply
    230,039x = 353,090.50 × 353,090.50
  4. Step 4: Simplify right side
    230,039x = 124,672,901,190.25
  5. Step 5: Solve for x
    x = 124,672,901,190.25/230,039
  6. Step 6: Final answer
    x = 541,964.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.