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Finding the Third Proportional to 180,808 and 393,761

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Solution

The third proportional to 180,808 and 393,761 is: 857,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,808 : 393,761 = 393,761 : x
  2. Step 2: Convert to fraction form
    180,808/393,761 = 393,761/x
  3. Step 3: Cross multiply
    180,808x = 393,761 × 393,761
  4. Step 4: Simplify right side
    180,808x = 155,047,725,121
  5. Step 5: Solve for x
    x = 155,047,725,121/180,808
  6. Step 6: Final answer
    x = 857,526.91

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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.