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Finding the Third Proportional to 196,884 and 426,708

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Solution

The third proportional to 196,884 and 426,708 is: 924,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,884 : 426,708 = 426,708 : x
  2. Step 2: Convert to fraction form
    196,884/426,708 = 426,708/x
  3. Step 3: Cross multiply
    196,884x = 426,708 × 426,708
  4. Step 4: Simplify right side
    196,884x = 182,079,717,264
  5. Step 5: Solve for x
    x = 182,079,717,264/196,884
  6. Step 6: Final answer
    x = 924,807.08

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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.