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Finding the Third Proportional to 194,452 and 420,008

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Solution

The third proportional to 194,452 and 420,008 is: 907,199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,452 : 420,008 = 420,008 : x
  2. Step 2: Convert to fraction form
    194,452/420,008 = 420,008/x
  3. Step 3: Cross multiply
    194,452x = 420,008 × 420,008
  4. Step 4: Simplify right side
    194,452x = 176,406,720,064
  5. Step 5: Solve for x
    x = 176,406,720,064/194,452
  6. Step 6: Final answer
    x = 907,199.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.