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Finding the Third Proportional to 202,288.22 and 436,125.94

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Solution

The third proportional to 202,288.22 and 436,125.94 is: 940,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,288.22 : 436,125.94 = 436,125.94 : x
  2. Step 2: Convert to fraction form
    202,288.22/436,125.94 = 436,125.94/x
  3. Step 3: Cross multiply
    202,288.22x = 436,125.94 × 436,125.94
  4. Step 4: Simplify right side
    202,288.22x = 190,205,833,360.25
  5. Step 5: Solve for x
    x = 190,205,833,360.25/202,288.22
  6. Step 6: Final answer
    x = 940,271.43

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