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Finding the Third Proportional to 184,800 and 286,032

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Solution

The third proportional to 184,800 and 286,032 is: 442,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,800 : 286,032 = 286,032 : x
  2. Step 2: Convert to fraction form
    184,800/286,032 = 286,032/x
  3. Step 3: Cross multiply
    184,800x = 286,032 × 286,032
  4. Step 4: Simplify right side
    184,800x = 81,814,305,024
  5. Step 5: Solve for x
    x = 81,814,305,024/184,800
  6. Step 6: Final answer
    x = 442,718.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.