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Finding the Third Proportional to 223,399.27 and 340,944.19

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Solution

The third proportional to 223,399.27 and 340,944.19 is: 520,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,399.27 : 340,944.19 = 340,944.19 : x
  2. Step 2: Convert to fraction form
    223,399.27/340,944.19 = 340,944.19/x
  3. Step 3: Cross multiply
    223,399.27x = 340,944.19 × 340,944.19
  4. Step 4: Simplify right side
    223,399.27x = 116,242,938,990.04
  5. Step 5: Solve for x
    x = 116,242,938,990.04/223,399.27
  6. Step 6: Final answer
    x = 520,337.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.