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Finding the Third Proportional to 124,664 and 268,336

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Solution

The third proportional to 124,664 and 268,336 is: 577,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,664 : 268,336 = 268,336 : x
  2. Step 2: Convert to fraction form
    124,664/268,336 = 268,336/x
  3. Step 3: Cross multiply
    124,664x = 268,336 × 268,336
  4. Step 4: Simplify right side
    124,664x = 72,004,208,896
  5. Step 5: Solve for x
    x = 72,004,208,896/124,664
  6. Step 6: Final answer
    x = 577,586.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.