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Finding the Third Proportional to 194,010 and 283,479

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Solution

The third proportional to 194,010 and 283,479 is: 414,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,010 : 283,479 = 283,479 : x
  2. Step 2: Convert to fraction form
    194,010/283,479 = 283,479/x
  3. Step 3: Cross multiply
    194,010x = 283,479 × 283,479
  4. Step 4: Simplify right side
    194,010x = 80,360,343,441
  5. Step 5: Solve for x
    x = 80,360,343,441/194,010
  6. Step 6: Final answer
    x = 414,207.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.