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Finding the Third Proportional to 124,228 and 268,232

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Solution

The third proportional to 124,228 and 268,232 is: 579,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,228 : 268,232 = 268,232 : x
  2. Step 2: Convert to fraction form
    124,228/268,232 = 268,232/x
  3. Step 3: Cross multiply
    124,228x = 268,232 × 268,232
  4. Step 4: Simplify right side
    124,228x = 71,948,405,824
  5. Step 5: Solve for x
    x = 71,948,405,824/124,228
  6. Step 6: Final answer
    x = 579,164.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.