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Finding the Third Proportional to 124,668 and 270,232

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Solution

The third proportional to 124,668 and 270,232 is: 585,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,668 : 270,232 = 270,232 : x
  2. Step 2: Convert to fraction form
    124,668/270,232 = 270,232/x
  3. Step 3: Cross multiply
    124,668x = 270,232 × 270,232
  4. Step 4: Simplify right side
    124,668x = 73,025,333,824
  5. Step 5: Solve for x
    x = 73,025,333,824/124,668
  6. Step 6: Final answer
    x = 585,758.45

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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.