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Finding the Third Proportional to 184,292 and 387,148

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Solution

The third proportional to 184,292 and 387,148 is: 813,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,292 : 387,148 = 387,148 : x
  2. Step 2: Convert to fraction form
    184,292/387,148 = 387,148/x
  3. Step 3: Cross multiply
    184,292x = 387,148 × 387,148
  4. Step 4: Simplify right side
    184,292x = 149,883,573,904
  5. Step 5: Solve for x
    x = 149,883,573,904/184,292
  6. Step 6: Final answer
    x = 813,293.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.