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Finding the Third Proportional to 124,226 and 268,228

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Solution

The third proportional to 124,226 and 268,228 is: 579,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,226 : 268,228 = 268,228 : x
  2. Step 2: Convert to fraction form
    124,226/268,228 = 268,228/x
  3. Step 3: Cross multiply
    124,226x = 268,228 × 268,228
  4. Step 4: Simplify right side
    124,226x = 71,946,259,984
  5. Step 5: Solve for x
    x = 71,946,259,984/124,226
  6. Step 6: Final answer
    x = 579,156.22

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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.