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Finding the Third Proportional to 202,343.91 and 437,107.22

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Solution

The third proportional to 202,343.91 and 437,107.22 is: 944,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,343.91 : 437,107.22 = 437,107.22 : x
  2. Step 2: Convert to fraction form
    202,343.91/437,107.22 = 437,107.22/x
  3. Step 3: Cross multiply
    202,343.91x = 437,107.22 × 437,107.22
  4. Step 4: Simplify right side
    202,343.91x = 191,062,720,683.36
  5. Step 5: Solve for x
    x = 191,062,720,683.36/202,343.91
  6. Step 6: Final answer
    x = 944,247.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.