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Finding the Third Proportional to 189,076.50 and 413,553.75

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Solution

The third proportional to 189,076.50 and 413,553.75 is: 904,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076.50 : 413,553.75 = 413,553.75 : x
  2. Step 2: Convert to fraction form
    189,076.50/413,553.75 = 413,553.75/x
  3. Step 3: Cross multiply
    189,076.50x = 413,553.75 × 413,553.75
  4. Step 4: Simplify right side
    189,076.50x = 171,026,704,139.06
  5. Step 5: Solve for x
    x = 171,026,704,139.06/189,076.50
  6. Step 6: Final answer
    x = 904,537.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.