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Finding the Third Proportional to 202,958.16 and 440,492.55

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Solution

The third proportional to 202,958.16 and 440,492.55 is: 956,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,958.16 : 440,492.55 = 440,492.55 : x
  2. Step 2: Convert to fraction form
    202,958.16/440,492.55 = 440,492.55/x
  3. Step 3: Cross multiply
    202,958.16x = 440,492.55 × 440,492.55
  4. Step 4: Simplify right side
    202,958.16x = 194,033,690,735.12
  5. Step 5: Solve for x
    x = 194,033,690,735.12/202,958.16
  6. Step 6: Final answer
    x = 956,028.05

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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.