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Finding the Third Proportional to 184,280 and 387,128

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Solution

The third proportional to 184,280 and 387,128 is: 813,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,280 : 387,128 = 387,128 : x
  2. Step 2: Convert to fraction form
    184,280/387,128 = 387,128/x
  3. Step 3: Cross multiply
    184,280x = 387,128 × 387,128
  4. Step 4: Simplify right side
    184,280x = 149,868,088,384
  5. Step 5: Solve for x
    x = 149,868,088,384/184,280
  6. Step 6: Final answer
    x = 813,262.91

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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.