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Finding the Third Proportional to 200,888 and 303,923.50

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Solution

The third proportional to 200,888 and 303,923.50 is: 459,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,888 : 303,923.50 = 303,923.50 : x
  2. Step 2: Convert to fraction form
    200,888/303,923.50 = 303,923.50/x
  3. Step 3: Cross multiply
    200,888x = 303,923.50 × 303,923.50
  4. Step 4: Simplify right side
    200,888x = 92,369,493,852.25
  5. Step 5: Solve for x
    x = 92,369,493,852.25/200,888
  6. Step 6: Final answer
    x = 459,805.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.