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Finding the Third Proportional to 184,712 and 277,284

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Solution

The third proportional to 184,712 and 277,284 is: 416,250.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,712 : 277,284 = 277,284 : x
  2. Step 2: Convert to fraction form
    184,712/277,284 = 277,284/x
  3. Step 3: Cross multiply
    184,712x = 277,284 × 277,284
  4. Step 4: Simplify right side
    184,712x = 76,886,416,656
  5. Step 5: Solve for x
    x = 76,886,416,656/184,712
  6. Step 6: Final answer
    x = 416,250.25

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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.