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Finding the Third Proportional to 74,397 and 165,348

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Solution

The third proportional to 74,397 and 165,348 is: 367,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,397 : 165,348 = 165,348 : x
  2. Step 2: Convert to fraction form
    74,397/165,348 = 165,348/x
  3. Step 3: Cross multiply
    74,397x = 165,348 × 165,348
  4. Step 4: Simplify right side
    74,397x = 27,339,961,104
  5. Step 5: Solve for x
    x = 27,339,961,104/74,397
  6. Step 6: Final answer
    x = 367,487.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.