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Finding the Third Proportional to 203,543.63 and 434,139.75

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Solution

The third proportional to 203,543.63 and 434,139.75 is: 925,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,543.63 : 434,139.75 = 434,139.75 : x
  2. Step 2: Convert to fraction form
    203,543.63/434,139.75 = 434,139.75/x
  3. Step 3: Cross multiply
    203,543.63x = 434,139.75 × 434,139.75
  4. Step 4: Simplify right side
    203,543.63x = 188,477,322,530.06
  5. Step 5: Solve for x
    x = 188,477,322,530.06/203,543.63
  6. Step 6: Final answer
    x = 925,979.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.