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Finding the Third Proportional to 186,937 and 411,256

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Solution

The third proportional to 186,937 and 411,256 is: 904,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,937 : 411,256 = 411,256 : x
  2. Step 2: Convert to fraction form
    186,937/411,256 = 411,256/x
  3. Step 3: Cross multiply
    186,937x = 411,256 × 411,256
  4. Step 4: Simplify right side
    186,937x = 169,131,497,536
  5. Step 5: Solve for x
    x = 169,131,497,536/186,937
  6. Step 6: Final answer
    x = 904,751.32

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Why These Related Problems?

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