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Finding the Third Proportional to 196,394 and 426,052

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Solution

The third proportional to 196,394 and 426,052 is: 924,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,394 : 426,052 = 426,052 : x
  2. Step 2: Convert to fraction form
    196,394/426,052 = 426,052/x
  3. Step 3: Cross multiply
    196,394x = 426,052 × 426,052
  4. Step 4: Simplify right side
    196,394x = 181,520,306,704
  5. Step 5: Solve for x
    x = 181,520,306,704/196,394
  6. Step 6: Final answer
    x = 924,266.05

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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.