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Finding the Third Proportional to 104,570 and 229,644

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Solution

The third proportional to 104,570 and 229,644 is: 504,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,570 : 229,644 = 229,644 : x
  2. Step 2: Convert to fraction form
    104,570/229,644 = 229,644/x
  3. Step 3: Cross multiply
    104,570x = 229,644 × 229,644
  4. Step 4: Simplify right side
    104,570x = 52,736,366,736
  5. Step 5: Solve for x
    x = 52,736,366,736/104,570
  6. Step 6: Final answer
    x = 504,316.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.