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Finding the Third Proportional to 196,380 and 416,085.75

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Solution

The third proportional to 196,380 and 416,085.75 is: 881,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,380 : 416,085.75 = 416,085.75 : x
  2. Step 2: Convert to fraction form
    196,380/416,085.75 = 416,085.75/x
  3. Step 3: Cross multiply
    196,380x = 416,085.75 × 416,085.75
  4. Step 4: Simplify right side
    196,380x = 173,127,351,353.06
  5. Step 5: Solve for x
    x = 173,127,351,353.06/196,380
  6. Step 6: Final answer
    x = 881,593.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.