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Finding the Third Proportional to 184,549.50 and 285,002.44

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Solution

The third proportional to 184,549.50 and 285,002.44 is: 440,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,549.50 : 285,002.44 = 285,002.44 : x
  2. Step 2: Convert to fraction form
    184,549.50/285,002.44 = 285,002.44/x
  3. Step 3: Cross multiply
    184,549.50x = 285,002.44 × 285,002.44
  4. Step 4: Simplify right side
    184,549.50x = 81,226,389,380.94
  5. Step 5: Solve for x
    x = 81,226,389,380.94/184,549.50
  6. Step 6: Final answer
    x = 440,133.35

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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.