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Finding the Third Proportional to 185,800.50 and 295,278.75

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Solution

The third proportional to 185,800.50 and 295,278.75 is: 469,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,800.50 : 295,278.75 = 295,278.75 : x
  2. Step 2: Convert to fraction form
    185,800.50/295,278.75 = 295,278.75/x
  3. Step 3: Cross multiply
    185,800.50x = 295,278.75 × 295,278.75
  4. Step 4: Simplify right side
    185,800.50x = 87,189,540,201.56
  5. Step 5: Solve for x
    x = 87,189,540,201.56/185,800.50
  6. Step 6: Final answer
    x = 469,264.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.