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Finding the Third Proportional to 202,151.25 and 428,946.75

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Solution

The third proportional to 202,151.25 and 428,946.75 is: 910,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,151.25 : 428,946.75 = 428,946.75 : x
  2. Step 2: Convert to fraction form
    202,151.25/428,946.75 = 428,946.75/x
  3. Step 3: Cross multiply
    202,151.25x = 428,946.75 × 428,946.75
  4. Step 4: Simplify right side
    202,151.25x = 183,995,314,335.56
  5. Step 5: Solve for x
    x = 183,995,314,335.56/202,151.25
  6. Step 6: Final answer
    x = 910,186.38

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.