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Finding the Third Proportional to 183,669.75 and 283,693.25

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Solution

The third proportional to 183,669.75 and 283,693.25 is: 438,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,669.75 : 283,693.25 = 283,693.25 : x
  2. Step 2: Convert to fraction form
    183,669.75/283,693.25 = 283,693.25/x
  3. Step 3: Cross multiply
    183,669.75x = 283,693.25 × 283,693.25
  4. Step 4: Simplify right side
    183,669.75x = 80,481,860,095.56
  5. Step 5: Solve for x
    x = 80,481,860,095.56/183,669.75
  6. Step 6: Final answer
    x = 438,187.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.