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Finding the Third Proportional to 184,479 and 282,072

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Solution

The third proportional to 184,479 and 282,072 is: 431,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,479 : 282,072 = 282,072 : x
  2. Step 2: Convert to fraction form
    184,479/282,072 = 282,072/x
  3. Step 3: Cross multiply
    184,479x = 282,072 × 282,072
  4. Step 4: Simplify right side
    184,479x = 79,564,613,184
  5. Step 5: Solve for x
    x = 79,564,613,184/184,479
  6. Step 6: Final answer
    x = 431,293.61

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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.