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Finding the Third Proportional to 104,234 and 224,686

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Solution

The third proportional to 104,234 and 224,686 is: 484,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,234 : 224,686 = 224,686 : x
  2. Step 2: Convert to fraction form
    104,234/224,686 = 224,686/x
  3. Step 3: Cross multiply
    104,234x = 224,686 × 224,686
  4. Step 4: Simplify right side
    104,234x = 50,483,798,596
  5. Step 5: Solve for x
    x = 50,483,798,596/104,234
  6. Step 6: Final answer
    x = 484,331.39

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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.