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Finding the Third Proportional to 238,042 and 326,412

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Solution

The third proportional to 238,042 and 326,412 is: 447,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,042 : 326,412 = 326,412 : x
  2. Step 2: Convert to fraction form
    238,042/326,412 = 326,412/x
  3. Step 3: Cross multiply
    238,042x = 326,412 × 326,412
  4. Step 4: Simplify right side
    238,042x = 106,544,793,744
  5. Step 5: Solve for x
    x = 106,544,793,744/238,042
  6. Step 6: Final answer
    x = 447,588.21

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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.