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Finding the Third Proportional to 179,818.50 and 268,496.63

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Solution

The third proportional to 179,818.50 and 268,496.63 is: 400,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,818.50 : 268,496.63 = 268,496.63 : x
  2. Step 2: Convert to fraction form
    179,818.50/268,496.63 = 268,496.63/x
  3. Step 3: Cross multiply
    179,818.50x = 268,496.63 × 268,496.63
  4. Step 4: Simplify right side
    179,818.50x = 72,090,437,636.39
  5. Step 5: Solve for x
    x = 72,090,437,636.39/179,818.50
  6. Step 6: Final answer
    x = 400,906.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.