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Finding the Third Proportional to 185,085 and 279,905.63

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Solution

The third proportional to 185,085 and 279,905.63 is: 423,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,085 : 279,905.63 = 279,905.63 : x
  2. Step 2: Convert to fraction form
    185,085/279,905.63 = 279,905.63/x
  3. Step 3: Cross multiply
    185,085x = 279,905.63 × 279,905.63
  4. Step 4: Simplify right side
    185,085x = 78,347,158,906.64
  5. Step 5: Solve for x
    x = 78,347,158,906.64/185,085
  6. Step 6: Final answer
    x = 423,303.67

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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.