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Finding the Third Proportional to 184,416 and 261,180

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Solution

The third proportional to 184,416 and 261,180 is: 369,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,416 : 261,180 = 261,180 : x
  2. Step 2: Convert to fraction form
    184,416/261,180 = 261,180/x
  3. Step 3: Cross multiply
    184,416x = 261,180 × 261,180
  4. Step 4: Simplify right side
    184,416x = 68,214,992,400
  5. Step 5: Solve for x
    x = 68,214,992,400/184,416
  6. Step 6: Final answer
    x = 369,897.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.