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Finding the Third Proportional to 184,244 and 270,316

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Solution

The third proportional to 184,244 and 270,316 is: 396,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,244 : 270,316 = 270,316 : x
  2. Step 2: Convert to fraction form
    184,244/270,316 = 270,316/x
  3. Step 3: Cross multiply
    184,244x = 270,316 × 270,316
  4. Step 4: Simplify right side
    184,244x = 73,070,739,856
  5. Step 5: Solve for x
    x = 73,070,739,856/184,244
  6. Step 6: Final answer
    x = 396,597.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.