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Finding the Third Proportional to 102,824 and 224,326

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Solution

The third proportional to 102,824 and 224,326 is: 489,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,824 : 224,326 = 224,326 : x
  2. Step 2: Convert to fraction form
    102,824/224,326 = 224,326/x
  3. Step 3: Cross multiply
    102,824x = 224,326 × 224,326
  4. Step 4: Simplify right side
    102,824x = 50,322,154,276
  5. Step 5: Solve for x
    x = 50,322,154,276/102,824
  6. Step 6: Final answer
    x = 489,400.86

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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.