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Finding the Third Proportional to 196,126 and 423,356

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Solution

The third proportional to 196,126 and 423,356 is: 913,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,126 : 423,356 = 423,356 : x
  2. Step 2: Convert to fraction form
    196,126/423,356 = 423,356/x
  3. Step 3: Cross multiply
    196,126x = 423,356 × 423,356
  4. Step 4: Simplify right side
    196,126x = 179,230,302,736
  5. Step 5: Solve for x
    x = 179,230,302,736/196,126
  6. Step 6: Final answer
    x = 913,852.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.