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Finding the Third Proportional to 188,380 and 282,574

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Solution

The third proportional to 188,380 and 282,574 is: 423,867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,380 : 282,574 = 282,574 : x
  2. Step 2: Convert to fraction form
    188,380/282,574 = 282,574/x
  3. Step 3: Cross multiply
    188,380x = 282,574 × 282,574
  4. Step 4: Simplify right side
    188,380x = 79,848,065,476
  5. Step 5: Solve for x
    x = 79,848,065,476/188,380
  6. Step 6: Final answer
    x = 423,867.00

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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.