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Finding the Third Proportional to 200,152.13 and 439,670.25

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Solution

The third proportional to 200,152.13 and 439,670.25 is: 965,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,152.13 : 439,670.25 = 439,670.25 : x
  2. Step 2: Convert to fraction form
    200,152.13/439,670.25 = 439,670.25/x
  3. Step 3: Cross multiply
    200,152.13x = 439,670.25 × 439,670.25
  4. Step 4: Simplify right side
    200,152.13x = 193,309,928,735.06
  5. Step 5: Solve for x
    x = 193,309,928,735.06/200,152.13
  6. Step 6: Final answer
    x = 965,815.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.