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Finding the Third Proportional to 237,500 and 347,260

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Solution

The third proportional to 237,500 and 347,260 is: 507,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,500 : 347,260 = 347,260 : x
  2. Step 2: Convert to fraction form
    237,500/347,260 = 347,260/x
  3. Step 3: Cross multiply
    237,500x = 347,260 × 347,260
  4. Step 4: Simplify right side
    237,500x = 120,589,507,600
  5. Step 5: Solve for x
    x = 120,589,507,600/237,500
  6. Step 6: Final answer
    x = 507,745.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.