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Finding the Third Proportional to 189,225 and 283,865.50

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Solution

The third proportional to 189,225 and 283,865.50 is: 425,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,225 : 283,865.50 = 283,865.50 : x
  2. Step 2: Convert to fraction form
    189,225/283,865.50 = 283,865.50/x
  3. Step 3: Cross multiply
    189,225x = 283,865.50 × 283,865.50
  4. Step 4: Simplify right side
    189,225x = 80,579,622,090.25
  5. Step 5: Solve for x
    x = 80,579,622,090.25/189,225
  6. Step 6: Final answer
    x = 425,840.25

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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.