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Finding the Third Proportional to 188,281.50 and 413,880

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Solution

The third proportional to 188,281.50 and 413,880 is: 909,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,281.50 : 413,880 = 413,880 : x
  2. Step 2: Convert to fraction form
    188,281.50/413,880 = 413,880/x
  3. Step 3: Cross multiply
    188,281.50x = 413,880 × 413,880
  4. Step 4: Simplify right side
    188,281.50x = 171,296,654,400
  5. Step 5: Solve for x
    x = 171,296,654,400/188,281.50
  6. Step 6: Final answer
    x = 909,790.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.