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Finding the Third Proportional to 184,980 and 277,495

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Solution

The third proportional to 184,980 and 277,495 is: 416,280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,980 : 277,495 = 277,495 : x
  2. Step 2: Convert to fraction form
    184,980/277,495 = 277,495/x
  3. Step 3: Cross multiply
    184,980x = 277,495 × 277,495
  4. Step 4: Simplify right side
    184,980x = 77,003,475,025
  5. Step 5: Solve for x
    x = 77,003,475,025/184,980
  6. Step 6: Final answer
    x = 416,280.00

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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.