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Finding the Third Proportional to 184,710.38 and 397,669.50

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Solution

The third proportional to 184,710.38 and 397,669.50 is: 856,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,710.38 : 397,669.50 = 397,669.50 : x
  2. Step 2: Convert to fraction form
    184,710.38/397,669.50 = 397,669.50/x
  3. Step 3: Cross multiply
    184,710.38x = 397,669.50 × 397,669.50
  4. Step 4: Simplify right side
    184,710.38x = 158,141,031,230.25
  5. Step 5: Solve for x
    x = 158,141,031,230.25/184,710.38
  6. Step 6: Final answer
    x = 856,156.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.