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Finding the Third Proportional to 188,241 and 282,783.50

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Solution

The third proportional to 188,241 and 282,783.50 is: 424,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,241 : 282,783.50 = 282,783.50 : x
  2. Step 2: Convert to fraction form
    188,241/282,783.50 = 282,783.50/x
  3. Step 3: Cross multiply
    188,241x = 282,783.50 × 282,783.50
  4. Step 4: Simplify right side
    188,241x = 79,966,507,872.25
  5. Step 5: Solve for x
    x = 79,966,507,872.25/188,241
  6. Step 6: Final answer
    x = 424,809.20

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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.