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Finding the Third Proportional to 202,972.50 and 440,525.25

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Solution

The third proportional to 202,972.50 and 440,525.25 is: 956,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,972.50 : 440,525.25 = 440,525.25 : x
  2. Step 2: Convert to fraction form
    202,972.50/440,525.25 = 440,525.25/x
  3. Step 3: Cross multiply
    202,972.50x = 440,525.25 × 440,525.25
  4. Step 4: Simplify right side
    202,972.50x = 194,062,495,887.56
  5. Step 5: Solve for x
    x = 194,062,495,887.56/202,972.50
  6. Step 6: Final answer
    x = 956,102.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.