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Finding the Third Proportional to 181,248 and 421,400

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Solution

The third proportional to 181,248 and 421,400 is: 979,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,248 : 421,400 = 421,400 : x
  2. Step 2: Convert to fraction form
    181,248/421,400 = 421,400/x
  3. Step 3: Cross multiply
    181,248x = 421,400 × 421,400
  4. Step 4: Simplify right side
    181,248x = 177,577,960,000
  5. Step 5: Solve for x
    x = 177,577,960,000/181,248
  6. Step 6: Final answer
    x = 979,751.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.