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Finding the Third Proportional to 223,944.75 and 342,424.13

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Solution

The third proportional to 223,944.75 and 342,424.13 is: 523,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,944.75 : 342,424.13 = 342,424.13 : x
  2. Step 2: Convert to fraction form
    223,944.75/342,424.13 = 342,424.13/x
  3. Step 3: Cross multiply
    223,944.75x = 342,424.13 × 342,424.13
  4. Step 4: Simplify right side
    223,944.75x = 117,254,281,382.02
  5. Step 5: Solve for x
    x = 117,254,281,382.02/223,944.75
  6. Step 6: Final answer
    x = 523,585.76

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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.