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Finding the Third Proportional to 237,814.50 and 326,101

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Solution

The third proportional to 237,814.50 and 326,101 is: 447,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,814.50 : 326,101 = 326,101 : x
  2. Step 2: Convert to fraction form
    237,814.50/326,101 = 326,101/x
  3. Step 3: Cross multiply
    237,814.50x = 326,101 × 326,101
  4. Step 4: Simplify right side
    237,814.50x = 106,341,862,201
  5. Step 5: Solve for x
    x = 106,341,862,201/237,814.50
  6. Step 6: Final answer
    x = 447,163.07

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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.