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Finding the Third Proportional to 194,488 and 429,800

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Solution

The third proportional to 194,488 and 429,800 is: 949,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,488 : 429,800 = 429,800 : x
  2. Step 2: Convert to fraction form
    194,488/429,800 = 429,800/x
  3. Step 3: Cross multiply
    194,488x = 429,800 × 429,800
  4. Step 4: Simplify right side
    194,488x = 184,728,040,000
  5. Step 5: Solve for x
    x = 184,728,040,000/194,488
  6. Step 6: Final answer
    x = 949,817.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.