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Finding the Third Proportional to 181,263.38 and 388,770.75

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Solution

The third proportional to 181,263.38 and 388,770.75 is: 833,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,263.38 : 388,770.75 = 388,770.75 : x
  2. Step 2: Convert to fraction form
    181,263.38/388,770.75 = 388,770.75/x
  3. Step 3: Cross multiply
    181,263.38x = 388,770.75 × 388,770.75
  4. Step 4: Simplify right side
    181,263.38x = 151,142,696,055.56
  5. Step 5: Solve for x
    x = 151,142,696,055.56/181,263.38
  6. Step 6: Final answer
    x = 833,829.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.