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Finding the Third Proportional to 202,251.94 and 439,792.03

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Solution

The third proportional to 202,251.94 and 439,792.03 is: 956,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,251.94 : 439,792.03 = 439,792.03 : x
  2. Step 2: Convert to fraction form
    202,251.94/439,792.03 = 439,792.03/x
  3. Step 3: Cross multiply
    202,251.94x = 439,792.03 × 439,792.03
  4. Step 4: Simplify right side
    202,251.94x = 193,417,030,751.00
  5. Step 5: Solve for x
    x = 193,417,030,751.00/202,251.94
  6. Step 6: Final answer
    x = 956,317.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.