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Finding the Third Proportional to 117,406 and 178,354

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Solution

The third proportional to 117,406 and 178,354 is: 270,941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,406 : 178,354 = 178,354 : x
  2. Step 2: Convert to fraction form
    117,406/178,354 = 178,354/x
  3. Step 3: Cross multiply
    117,406x = 178,354 × 178,354
  4. Step 4: Simplify right side
    117,406x = 31,810,149,316
  5. Step 5: Solve for x
    x = 31,810,149,316/117,406
  6. Step 6: Final answer
    x = 270,941.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.