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Finding the Third Proportional to 196,836 and 305,370

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Solution

The third proportional to 196,836 and 305,370 is: 473,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,836 : 305,370 = 305,370 : x
  2. Step 2: Convert to fraction form
    196,836/305,370 = 305,370/x
  3. Step 3: Cross multiply
    196,836x = 305,370 × 305,370
  4. Step 4: Simplify right side
    196,836x = 93,250,836,900
  5. Step 5: Solve for x
    x = 93,250,836,900/196,836
  6. Step 6: Final answer
    x = 473,748.89

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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.