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Finding the Third Proportional to 194,106 and 427,308

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Solution

The third proportional to 194,106 and 427,308 is: 940,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,106 : 427,308 = 427,308 : x
  2. Step 2: Convert to fraction form
    194,106/427,308 = 427,308/x
  3. Step 3: Cross multiply
    194,106x = 427,308 × 427,308
  4. Step 4: Simplify right side
    194,106x = 182,592,126,864
  5. Step 5: Solve for x
    x = 182,592,126,864/194,106
  6. Step 6: Final answer
    x = 940,682.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.