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Finding the Third Proportional to 202,161.94 and 299,301.75

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Solution

The third proportional to 202,161.94 and 299,301.75 is: 443,117.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,161.94 : 299,301.75 = 299,301.75 : x
  2. Step 2: Convert to fraction form
    202,161.94/299,301.75 = 299,301.75/x
  3. Step 3: Cross multiply
    202,161.94x = 299,301.75 × 299,301.75
  4. Step 4: Simplify right side
    202,161.94x = 89,581,537,553.06
  5. Step 5: Solve for x
    x = 89,581,537,553.06/202,161.94
  6. Step 6: Final answer
    x = 443,117.72

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.