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Finding the Third Proportional to 202,591.13 and 434,595.38

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Solution

The third proportional to 202,591.13 and 434,595.38 is: 932,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,591.13 : 434,595.38 = 434,595.38 : x
  2. Step 2: Convert to fraction form
    202,591.13/434,595.38 = 434,595.38/x
  3. Step 3: Cross multiply
    202,591.13x = 434,595.38 × 434,595.38
  4. Step 4: Simplify right side
    202,591.13x = 188,873,139,971.39
  5. Step 5: Solve for x
    x = 188,873,139,971.39/202,591.13
  6. Step 6: Final answer
    x = 932,287.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.