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Finding the Third Proportional to 182,805.82 and 407,621.53

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Solution

The third proportional to 182,805.82 and 407,621.53 is: 908,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,805.82 : 407,621.53 = 407,621.53 : x
  2. Step 2: Convert to fraction form
    182,805.82/407,621.53 = 407,621.53/x
  3. Step 3: Cross multiply
    182,805.82x = 407,621.53 × 407,621.53
  4. Step 4: Simplify right side
    182,805.82x = 166,155,312,738.60
  5. Step 5: Solve for x
    x = 166,155,312,738.60/182,805.82
  6. Step 6: Final answer
    x = 908,916.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.