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Finding the Third Proportional to 193,446 and 420,120

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Solution

The third proportional to 193,446 and 420,120 is: 912,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,446 : 420,120 = 420,120 : x
  2. Step 2: Convert to fraction form
    193,446/420,120 = 420,120/x
  3. Step 3: Cross multiply
    193,446x = 420,120 × 420,120
  4. Step 4: Simplify right side
    193,446x = 176,500,814,400
  5. Step 5: Solve for x
    x = 176,500,814,400/193,446
  6. Step 6: Final answer
    x = 912,403.54

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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.