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Finding the Third Proportional to 188,233 and 282,769.50

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Solution

The third proportional to 188,233 and 282,769.50 is: 424,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,233 : 282,769.50 = 282,769.50 : x
  2. Step 2: Convert to fraction form
    188,233/282,769.50 = 282,769.50/x
  3. Step 3: Cross multiply
    188,233x = 282,769.50 × 282,769.50
  4. Step 4: Simplify right side
    188,233x = 79,958,590,130.25
  5. Step 5: Solve for x
    x = 79,958,590,130.25/188,233
  6. Step 6: Final answer
    x = 424,785.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.