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Finding the Third Proportional to 202,494.50 and 321,826.75

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Solution

The third proportional to 202,494.50 and 321,826.75 is: 511,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,494.50 : 321,826.75 = 321,826.75 : x
  2. Step 2: Convert to fraction form
    202,494.50/321,826.75 = 321,826.75/x
  3. Step 3: Cross multiply
    202,494.50x = 321,826.75 × 321,826.75
  4. Step 4: Simplify right side
    202,494.50x = 103,572,457,015.56
  5. Step 5: Solve for x
    x = 103,572,457,015.56/202,494.50
  6. Step 6: Final answer
    x = 511,482.82

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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.