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Finding the Third Proportional to 104,934 and 224,827

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Solution

The third proportional to 104,934 and 224,827 is: 481,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,934 : 224,827 = 224,827 : x
  2. Step 2: Convert to fraction form
    104,934/224,827 = 224,827/x
  3. Step 3: Cross multiply
    104,934x = 224,827 × 224,827
  4. Step 4: Simplify right side
    104,934x = 50,547,179,929
  5. Step 5: Solve for x
    x = 50,547,179,929/104,934
  6. Step 6: Final answer
    x = 481,704.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.