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Finding the Third Proportional to 184,464 and 282,048

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Solution

The third proportional to 184,464 and 282,048 is: 431,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,464 : 282,048 = 282,048 : x
  2. Step 2: Convert to fraction form
    184,464/282,048 = 282,048/x
  3. Step 3: Cross multiply
    184,464x = 282,048 × 282,048
  4. Step 4: Simplify right side
    184,464x = 79,551,074,304
  5. Step 5: Solve for x
    x = 79,551,074,304/184,464
  6. Step 6: Final answer
    x = 431,255.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.