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Finding the Third Proportional to 202,406.25 and 444,178.50

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Solution

The third proportional to 202,406.25 and 444,178.50 is: 974,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,406.25 : 444,178.50 = 444,178.50 : x
  2. Step 2: Convert to fraction form
    202,406.25/444,178.50 = 444,178.50/x
  3. Step 3: Cross multiply
    202,406.25x = 444,178.50 × 444,178.50
  4. Step 4: Simplify right side
    202,406.25x = 197,294,539,862.25
  5. Step 5: Solve for x
    x = 197,294,539,862.25/202,406.25
  6. Step 6: Final answer
    x = 974,745.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.