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Finding the Third Proportional to 124,350 and 270,768

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Solution

The third proportional to 124,350 and 270,768 is: 589,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,350 : 270,768 = 270,768 : x
  2. Step 2: Convert to fraction form
    124,350/270,768 = 270,768/x
  3. Step 3: Cross multiply
    124,350x = 270,768 × 270,768
  4. Step 4: Simplify right side
    124,350x = 73,315,309,824
  5. Step 5: Solve for x
    x = 73,315,309,824/124,350
  6. Step 6: Final answer
    x = 589,588.34

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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.