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Finding the Third Proportional to 196,232 and 415,360

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Solution

The third proportional to 196,232 and 415,360 is: 879,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,232 : 415,360 = 415,360 : x
  2. Step 2: Convert to fraction form
    196,232/415,360 = 415,360/x
  3. Step 3: Cross multiply
    196,232x = 415,360 × 415,360
  4. Step 4: Simplify right side
    196,232x = 172,523,929,600
  5. Step 5: Solve for x
    x = 172,523,929,600/196,232
  6. Step 6: Final answer
    x = 879,183.46

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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.