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Finding the Third Proportional to 196,344 and 429,975

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Solution

The third proportional to 196,344 and 429,975 is: 941,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,344 : 429,975 = 429,975 : x
  2. Step 2: Convert to fraction form
    196,344/429,975 = 429,975/x
  3. Step 3: Cross multiply
    196,344x = 429,975 × 429,975
  4. Step 4: Simplify right side
    196,344x = 184,878,500,625
  5. Step 5: Solve for x
    x = 184,878,500,625/196,344
  6. Step 6: Final answer
    x = 941,605.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.