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Finding the Third Proportional to 180,811.38 and 393,766.13

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Solution

The third proportional to 180,811.38 and 393,766.13 is: 857,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,811.38 : 393,766.13 = 393,766.13 : x
  2. Step 2: Convert to fraction form
    180,811.38/393,766.13 = 393,766.13/x
  3. Step 3: Cross multiply
    180,811.38x = 393,766.13 × 393,766.13
  4. Step 4: Simplify right side
    180,811.38x = 155,051,761,197.52
  5. Step 5: Solve for x
    x = 155,051,761,197.52/180,811.38
  6. Step 6: Final answer
    x = 857,533.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.