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Finding the Third Proportional to 202,117.50 and 440,093.25

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Solution

The third proportional to 202,117.50 and 440,093.25 is: 958,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,117.50 : 440,093.25 = 440,093.25 : x
  2. Step 2: Convert to fraction form
    202,117.50/440,093.25 = 440,093.25/x
  3. Step 3: Cross multiply
    202,117.50x = 440,093.25 × 440,093.25
  4. Step 4: Simplify right side
    202,117.50x = 193,682,068,695.56
  5. Step 5: Solve for x
    x = 193,682,068,695.56/202,117.50
  6. Step 6: Final answer
    x = 958,264.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.