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Finding the Third Proportional to 184,821 and 268,617

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Solution

The third proportional to 184,821 and 268,617 is: 390,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,821 : 268,617 = 268,617 : x
  2. Step 2: Convert to fraction form
    184,821/268,617 = 268,617/x
  3. Step 3: Cross multiply
    184,821x = 268,617 × 268,617
  4. Step 4: Simplify right side
    184,821x = 72,155,092,689
  5. Step 5: Solve for x
    x = 72,155,092,689/184,821
  6. Step 6: Final answer
    x = 390,405.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.