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Finding the Third Proportional to 184,982 and 277,498

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Solution

The third proportional to 184,982 and 277,498 is: 416,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,982 : 277,498 = 277,498 : x
  2. Step 2: Convert to fraction form
    184,982/277,498 = 277,498/x
  3. Step 3: Cross multiply
    184,982x = 277,498 × 277,498
  4. Step 4: Simplify right side
    184,982x = 77,005,140,004
  5. Step 5: Solve for x
    x = 77,005,140,004/184,982
  6. Step 6: Final answer
    x = 416,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.