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Finding the Third Proportional to 75,284 and 178,352

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Solution

The third proportional to 75,284 and 178,352 is: 422,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284 : 178,352 = 178,352 : x
  2. Step 2: Convert to fraction form
    75,284/178,352 = 178,352/x
  3. Step 3: Cross multiply
    75,284x = 178,352 × 178,352
  4. Step 4: Simplify right side
    75,284x = 31,809,435,904
  5. Step 5: Solve for x
    x = 31,809,435,904/75,284
  6. Step 6: Final answer
    x = 422,525.85

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.