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Finding the Third Proportional to 196,509 and 421,056

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Solution

The third proportional to 196,509 and 421,056 is: 902,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,509 : 421,056 = 421,056 : x
  2. Step 2: Convert to fraction form
    196,509/421,056 = 421,056/x
  3. Step 3: Cross multiply
    196,509x = 421,056 × 421,056
  4. Step 4: Simplify right side
    196,509x = 177,288,155,136
  5. Step 5: Solve for x
    x = 177,288,155,136/196,509
  6. Step 6: Final answer
    x = 902,188.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.