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Finding the Third Proportional to 194,668 and 414,428

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Solution

The third proportional to 194,668 and 414,428 is: 882,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,668 : 414,428 = 414,428 : x
  2. Step 2: Convert to fraction form
    194,668/414,428 = 414,428/x
  3. Step 3: Cross multiply
    194,668x = 414,428 × 414,428
  4. Step 4: Simplify right side
    194,668x = 171,750,567,184
  5. Step 5: Solve for x
    x = 171,750,567,184/194,668
  6. Step 6: Final answer
    x = 882,274.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.