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Finding the Third Proportional to 196,752 and 434,852

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Solution

The third proportional to 196,752 and 434,852 is: 961,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,752 : 434,852 = 434,852 : x
  2. Step 2: Convert to fraction form
    196,752/434,852 = 434,852/x
  3. Step 3: Cross multiply
    196,752x = 434,852 × 434,852
  4. Step 4: Simplify right side
    196,752x = 189,096,261,904
  5. Step 5: Solve for x
    x = 189,096,261,904/196,752
  6. Step 6: Final answer
    x = 961,089.40

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Why These Related Problems?

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