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Finding the Third Proportional to 113,135.25 and 223,414.50

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Solution

The third proportional to 113,135.25 and 223,414.50 is: 441,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,135.25 : 223,414.50 = 223,414.50 : x
  2. Step 2: Convert to fraction form
    113,135.25/223,414.50 = 223,414.50/x
  3. Step 3: Cross multiply
    113,135.25x = 223,414.50 × 223,414.50
  4. Step 4: Simplify right side
    113,135.25x = 49,914,038,810.25
  5. Step 5: Solve for x
    x = 49,914,038,810.25/113,135.25
  6. Step 6: Final answer
    x = 441,189.10

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.