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Finding the Third Proportional to 184,972.50 and 277,483.50

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Solution

The third proportional to 184,972.50 and 277,483.50 is: 416,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,972.50 : 277,483.50 = 277,483.50 : x
  2. Step 2: Convert to fraction form
    184,972.50/277,483.50 = 277,483.50/x
  3. Step 3: Cross multiply
    184,972.50x = 277,483.50 × 277,483.50
  4. Step 4: Simplify right side
    184,972.50x = 76,997,092,772.25
  5. Step 5: Solve for x
    x = 76,997,092,772.25/184,972.50
  6. Step 6: Final answer
    x = 416,262.38

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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.