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Finding the Third Proportional to 182,672 and 268,104

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Solution

The third proportional to 182,672 and 268,104 is: 393,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,672 : 268,104 = 268,104 : x
  2. Step 2: Convert to fraction form
    182,672/268,104 = 268,104/x
  3. Step 3: Cross multiply
    182,672x = 268,104 × 268,104
  4. Step 4: Simplify right side
    182,672x = 71,879,754,816
  5. Step 5: Solve for x
    x = 71,879,754,816/182,672
  6. Step 6: Final answer
    x = 393,490.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.