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Finding the Third Proportional to 104,309.25 and 213,577.50

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Solution

The third proportional to 104,309.25 and 213,577.50 is: 437,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,309.25 : 213,577.50 = 213,577.50 : x
  2. Step 2: Convert to fraction form
    104,309.25/213,577.50 = 213,577.50/x
  3. Step 3: Cross multiply
    104,309.25x = 213,577.50 × 213,577.50
  4. Step 4: Simplify right side
    104,309.25x = 45,615,348,506.25
  5. Step 5: Solve for x
    x = 45,615,348,506.25/104,309.25
  6. Step 6: Final answer
    x = 437,308.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.