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Finding the Third Proportional to 104,169 and 224,328

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Solution

The third proportional to 104,169 and 224,328 is: 483,090.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,169 : 224,328 = 224,328 : x
  2. Step 2: Convert to fraction form
    104,169/224,328 = 224,328/x
  3. Step 3: Cross multiply
    104,169x = 224,328 × 224,328
  4. Step 4: Simplify right side
    104,169x = 50,323,051,584
  5. Step 5: Solve for x
    x = 50,323,051,584/104,169
  6. Step 6: Final answer
    x = 483,090.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.