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Finding the Third Proportional to 237,808.50 and 326,094.75

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Solution

The third proportional to 237,808.50 and 326,094.75 is: 447,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,808.50 : 326,094.75 = 326,094.75 : x
  2. Step 2: Convert to fraction form
    237,808.50/326,094.75 = 326,094.75/x
  3. Step 3: Cross multiply
    237,808.50x = 326,094.75 × 326,094.75
  4. Step 4: Simplify right side
    237,808.50x = 106,337,785,977.56
  5. Step 5: Solve for x
    x = 106,337,785,977.56/237,808.50
  6. Step 6: Final answer
    x = 447,157.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.