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Finding the Third Proportional to 196,196 and 426,536

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Solution

The third proportional to 196,196 and 426,536 is: 927,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,196 : 426,536 = 426,536 : x
  2. Step 2: Convert to fraction form
    196,196/426,536 = 426,536/x
  3. Step 3: Cross multiply
    196,196x = 426,536 × 426,536
  4. Step 4: Simplify right side
    196,196x = 181,932,959,296
  5. Step 5: Solve for x
    x = 181,932,959,296/196,196
  6. Step 6: Final answer
    x = 927,302.08

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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.