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Finding the Third Proportional to 238,021 and 326,382

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Solution

The third proportional to 238,021 and 326,382 is: 447,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,021 : 326,382 = 326,382 : x
  2. Step 2: Convert to fraction form
    238,021/326,382 = 326,382/x
  3. Step 3: Cross multiply
    238,021x = 326,382 × 326,382
  4. Step 4: Simplify right side
    238,021x = 106,525,209,924
  5. Step 5: Solve for x
    x = 106,525,209,924/238,021
  6. Step 6: Final answer
    x = 447,545.43

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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.