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Finding the Third Proportional to 88,482 and 194,460

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Solution

The third proportional to 88,482 and 194,460 is: 427,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,482 : 194,460 = 194,460 : x
  2. Step 2: Convert to fraction form
    88,482/194,460 = 194,460/x
  3. Step 3: Cross multiply
    88,482x = 194,460 × 194,460
  4. Step 4: Simplify right side
    88,482x = 37,814,691,600
  5. Step 5: Solve for x
    x = 37,814,691,600/88,482
  6. Step 6: Final answer
    x = 427,371.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.