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Finding the Third Proportional to 184,201.50 and 285,294

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Solution

The third proportional to 184,201.50 and 285,294 is: 441,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,201.50 : 285,294 = 285,294 : x
  2. Step 2: Convert to fraction form
    184,201.50/285,294 = 285,294/x
  3. Step 3: Cross multiply
    184,201.50x = 285,294 × 285,294
  4. Step 4: Simplify right side
    184,201.50x = 81,392,666,436
  5. Step 5: Solve for x
    x = 81,392,666,436/184,201.50
  6. Step 6: Final answer
    x = 441,867.56

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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.