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Finding the Third Proportional to 124,326 and 270,720

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Solution

The third proportional to 124,326 and 270,720 is: 589,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,326 : 270,720 = 270,720 : x
  2. Step 2: Convert to fraction form
    124,326/270,720 = 270,720/x
  3. Step 3: Cross multiply
    124,326x = 270,720 × 270,720
  4. Step 4: Simplify right side
    124,326x = 73,289,318,400
  5. Step 5: Solve for x
    x = 73,289,318,400/124,326
  6. Step 6: Final answer
    x = 589,493.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.