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Finding the Third Proportional to 180,937 and 395,399

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Solution

The third proportional to 180,937 and 395,399 is: 864,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,937 : 395,399 = 395,399 : x
  2. Step 2: Convert to fraction form
    180,937/395,399 = 395,399/x
  3. Step 3: Cross multiply
    180,937x = 395,399 × 395,399
  4. Step 4: Simplify right side
    180,937x = 156,340,369,201
  5. Step 5: Solve for x
    x = 156,340,369,201/180,937
  6. Step 6: Final answer
    x = 864,059.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.