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Finding the Third Proportional to 196,116 and 423,336

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Solution

The third proportional to 196,116 and 423,336 is: 913,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,116 : 423,336 = 423,336 : x
  2. Step 2: Convert to fraction form
    196,116/423,336 = 423,336/x
  3. Step 3: Cross multiply
    196,116x = 423,336 × 423,336
  4. Step 4: Simplify right side
    196,116x = 179,213,368,896
  5. Step 5: Solve for x
    x = 179,213,368,896/196,116
  6. Step 6: Final answer
    x = 913,813.09

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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.