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Finding the Third Proportional to 243,033.75 and 333,743.63

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Solution

The third proportional to 243,033.75 and 333,743.63 is: 458,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,033.75 : 333,743.63 = 333,743.63 : x
  2. Step 2: Convert to fraction form
    243,033.75/333,743.63 = 333,743.63/x
  3. Step 3: Cross multiply
    243,033.75x = 333,743.63 × 333,743.63
  4. Step 4: Simplify right side
    243,033.75x = 111,384,807,228.14
  5. Step 5: Solve for x
    x = 111,384,807,228.14/243,033.75
  6. Step 6: Final answer
    x = 458,310.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.