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Finding the Third Proportional to 128,302 and 184,814

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Solution

The third proportional to 128,302 and 184,814 is: 266,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,302 : 184,814 = 184,814 : x
  2. Step 2: Convert to fraction form
    128,302/184,814 = 184,814/x
  3. Step 3: Cross multiply
    128,302x = 184,814 × 184,814
  4. Step 4: Simplify right side
    128,302x = 34,156,214,596
  5. Step 5: Solve for x
    x = 34,156,214,596/128,302
  6. Step 6: Final answer
    x = 266,217.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.