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Finding the Third Proportional to 185,166 and 277,284

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Solution

The third proportional to 185,166 and 277,284 is: 415,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,166 : 277,284 = 277,284 : x
  2. Step 2: Convert to fraction form
    185,166/277,284 = 277,284/x
  3. Step 3: Cross multiply
    185,166x = 277,284 × 277,284
  4. Step 4: Simplify right side
    185,166x = 76,886,416,656
  5. Step 5: Solve for x
    x = 76,886,416,656/185,166
  6. Step 6: Final answer
    x = 415,229.67

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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.