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Finding the Third Proportional to 184,573.13 and 263,935.13

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Solution

The third proportional to 184,573.13 and 263,935.13 is: 377,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,573.13 : 263,935.13 = 263,935.13 : x
  2. Step 2: Convert to fraction form
    184,573.13/263,935.13 = 263,935.13/x
  3. Step 3: Cross multiply
    184,573.13x = 263,935.13 × 263,935.13
  4. Step 4: Simplify right side
    184,573.13x = 69,661,750,208.77
  5. Step 5: Solve for x
    x = 69,661,750,208.77/184,573.13
  6. Step 6: Final answer
    x = 377,420.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.