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Finding the Third Proportional to 94,424.25 and 202,882.50

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Solution

The third proportional to 94,424.25 and 202,882.50 is: 435,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,424.25 : 202,882.50 = 202,882.50 : x
  2. Step 2: Convert to fraction form
    94,424.25/202,882.50 = 202,882.50/x
  3. Step 3: Cross multiply
    94,424.25x = 202,882.50 × 202,882.50
  4. Step 4: Simplify right side
    94,424.25x = 41,161,308,806.25
  5. Step 5: Solve for x
    x = 41,161,308,806.25/94,424.25
  6. Step 6: Final answer
    x = 435,918.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.