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Finding the Third Proportional to 196,860 and 305,403

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Solution

The third proportional to 196,860 and 305,403 is: 473,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,860 : 305,403 = 305,403 : x
  2. Step 2: Convert to fraction form
    196,860/305,403 = 305,403/x
  3. Step 3: Cross multiply
    196,860x = 305,403 × 305,403
  4. Step 4: Simplify right side
    196,860x = 93,270,992,409
  5. Step 5: Solve for x
    x = 93,270,992,409/196,860
  6. Step 6: Final answer
    x = 473,793.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.