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Finding the Third Proportional to 184,294 and 277,739

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Solution

The third proportional to 184,294 and 277,739 is: 418,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,294 : 277,739 = 277,739 : x
  2. Step 2: Convert to fraction form
    184,294/277,739 = 277,739/x
  3. Step 3: Cross multiply
    184,294x = 277,739 × 277,739
  4. Step 4: Simplify right side
    184,294x = 77,138,952,121
  5. Step 5: Solve for x
    x = 77,138,952,121/184,294
  6. Step 6: Final answer
    x = 418,564.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.