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Finding the Third Proportional to 196,752 and 434,853

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Solution

The third proportional to 196,752 and 434,853 is: 961,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,752 : 434,853 = 434,853 : x
  2. Step 2: Convert to fraction form
    196,752/434,853 = 434,853/x
  3. Step 3: Cross multiply
    196,752x = 434,853 × 434,853
  4. Step 4: Simplify right side
    196,752x = 189,097,131,609
  5. Step 5: Solve for x
    x = 189,097,131,609/196,752
  6. Step 6: Final answer
    x = 961,093.82

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.