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Finding the Third Proportional to 184,560 and 285,004

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Solution

The third proportional to 184,560 and 285,004 is: 440,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,560 : 285,004 = 285,004 : x
  2. Step 2: Convert to fraction form
    184,560/285,004 = 285,004/x
  3. Step 3: Cross multiply
    184,560x = 285,004 × 285,004
  4. Step 4: Simplify right side
    184,560x = 81,227,280,016
  5. Step 5: Solve for x
    x = 81,227,280,016/184,560
  6. Step 6: Final answer
    x = 440,113.13

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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.