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Finding the Third Proportional to 184,558.50 and 392,566.50

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Solution

The third proportional to 184,558.50 and 392,566.50 is: 835,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,558.50 : 392,566.50 = 392,566.50 : x
  2. Step 2: Convert to fraction form
    184,558.50/392,566.50 = 392,566.50/x
  3. Step 3: Cross multiply
    184,558.50x = 392,566.50 × 392,566.50
  4. Step 4: Simplify right side
    184,558.50x = 154,108,456,922.25
  5. Step 5: Solve for x
    x = 154,108,456,922.25/184,558.50
  6. Step 6: Final answer
    x = 835,011.43

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.