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Finding the Third Proportional to 184,608 and 400,320

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Solution

The third proportional to 184,608 and 400,320 is: 868,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,608 : 400,320 = 400,320 : x
  2. Step 2: Convert to fraction form
    184,608/400,320 = 400,320/x
  3. Step 3: Cross multiply
    184,608x = 400,320 × 400,320
  4. Step 4: Simplify right side
    184,608x = 160,256,102,400
  5. Step 5: Solve for x
    x = 160,256,102,400/184,608
  6. Step 6: Final answer
    x = 868,088.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.