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Finding the Third Proportional to 144,237.38 and 223,914.38

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Solution

The third proportional to 144,237.38 and 223,914.38 is: 347,605.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,237.38 : 223,914.38 = 223,914.38 : x
  2. Step 2: Convert to fraction form
    144,237.38/223,914.38 = 223,914.38/x
  3. Step 3: Cross multiply
    144,237.38x = 223,914.38 × 223,914.38
  4. Step 4: Simplify right side
    144,237.38x = 50,137,647,331.64
  5. Step 5: Solve for x
    x = 50,137,647,331.64/144,237.38
  6. Step 6: Final answer
    x = 347,605.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.