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Finding the Third Proportional to 130,784 and 184,170

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Solution

The third proportional to 130,784 and 184,170 is: 259,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,784 : 184,170 = 184,170 : x
  2. Step 2: Convert to fraction form
    130,784/184,170 = 184,170/x
  3. Step 3: Cross multiply
    130,784x = 184,170 × 184,170
  4. Step 4: Simplify right side
    130,784x = 33,918,588,900
  5. Step 5: Solve for x
    x = 33,918,588,900/130,784
  6. Step 6: Final answer
    x = 259,348.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.