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Finding the Third Proportional to 103,979 and 224,590

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Solution

The third proportional to 103,979 and 224,590 is: 485,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,979 : 224,590 = 224,590 : x
  2. Step 2: Convert to fraction form
    103,979/224,590 = 224,590/x
  3. Step 3: Cross multiply
    103,979x = 224,590 × 224,590
  4. Step 4: Simplify right side
    103,979x = 50,440,668,100
  5. Step 5: Solve for x
    x = 50,440,668,100/103,979
  6. Step 6: Final answer
    x = 485,104.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.