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Finding the Third Proportional to 128,392 and 282,404

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Solution

The third proportional to 128,392 and 282,404 is: 621,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,392 : 282,404 = 282,404 : x
  2. Step 2: Convert to fraction form
    128,392/282,404 = 282,404/x
  3. Step 3: Cross multiply
    128,392x = 282,404 × 282,404
  4. Step 4: Simplify right side
    128,392x = 79,752,019,216
  5. Step 5: Solve for x
    x = 79,752,019,216/128,392
  6. Step 6: Final answer
    x = 621,160.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.