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Finding the Third Proportional to 202,961.50 and 321,361.50

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Solution

The third proportional to 202,961.50 and 321,361.50 is: 508,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.50 : 321,361.50 = 321,361.50 : x
  2. Step 2: Convert to fraction form
    202,961.50/321,361.50 = 321,361.50/x
  3. Step 3: Cross multiply
    202,961.50x = 321,361.50 × 321,361.50
  4. Step 4: Simplify right side
    202,961.50x = 103,273,213,682.25
  5. Step 5: Solve for x
    x = 103,273,213,682.25/202,961.50
  6. Step 6: Final answer
    x = 508,831.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.