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Finding the Third Proportional to 182,764.50 and 407,552.63

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Solution

The third proportional to 182,764.50 and 407,552.63 is: 908,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,764.50 : 407,552.63 = 407,552.63 : x
  2. Step 2: Convert to fraction form
    182,764.50/407,552.63 = 407,552.63/x
  3. Step 3: Cross multiply
    182,764.50x = 407,552.63 × 407,552.63
  4. Step 4: Simplify right side
    182,764.50x = 166,099,142,144.39
  5. Step 5: Solve for x
    x = 166,099,142,144.39/182,764.50
  6. Step 6: Final answer
    x = 908,815.13

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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.