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Finding the Third Proportional to 237,808 and 326,094

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Solution

The third proportional to 237,808 and 326,094 is: 447,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,808 : 326,094 = 326,094 : x
  2. Step 2: Convert to fraction form
    237,808/326,094 = 326,094/x
  3. Step 3: Cross multiply
    237,808x = 326,094 × 326,094
  4. Step 4: Simplify right side
    237,808x = 106,337,296,836
  5. Step 5: Solve for x
    x = 106,337,296,836/237,808
  6. Step 6: Final answer
    x = 447,156.10

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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.