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Finding the Third Proportional to 237,810 and 326,097

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Solution

The third proportional to 237,810 and 326,097 is: 447,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,810 : 326,097 = 326,097 : x
  2. Step 2: Convert to fraction form
    237,810/326,097 = 326,097/x
  3. Step 3: Cross multiply
    237,810x = 326,097 × 326,097
  4. Step 4: Simplify right side
    237,810x = 106,339,253,409
  5. Step 5: Solve for x
    x = 106,339,253,409/237,810
  6. Step 6: Final answer
    x = 447,160.56

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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.