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Finding the Third Proportional to 196,776 and 426,168

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Solution

The third proportional to 196,776 and 426,168 is: 922,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,776 : 426,168 = 426,168 : x
  2. Step 2: Convert to fraction form
    196,776/426,168 = 426,168/x
  3. Step 3: Cross multiply
    196,776x = 426,168 × 426,168
  4. Step 4: Simplify right side
    196,776x = 181,619,164,224
  5. Step 5: Solve for x
    x = 181,619,164,224/196,776
  6. Step 6: Final answer
    x = 922,974.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.