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Finding the Third Proportional to 184,555.50 and 285,000

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Solution

The third proportional to 184,555.50 and 285,000 is: 440,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,555.50 : 285,000 = 285,000 : x
  2. Step 2: Convert to fraction form
    184,555.50/285,000 = 285,000/x
  3. Step 3: Cross multiply
    184,555.50x = 285,000 × 285,000
  4. Step 4: Simplify right side
    184,555.50x = 81,225,000,000
  5. Step 5: Solve for x
    x = 81,225,000,000/184,555.50
  6. Step 6: Final answer
    x = 440,111.51

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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.