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Finding the Third Proportional to 184,548.38 and 289,119.38

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Solution

The third proportional to 184,548.38 and 289,119.38 is: 452,943.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,548.38 : 289,119.38 = 289,119.38 : x
  2. Step 2: Convert to fraction form
    184,548.38/289,119.38 = 289,119.38/x
  3. Step 3: Cross multiply
    184,548.38x = 289,119.38 × 289,119.38
  4. Step 4: Simplify right side
    184,548.38x = 83,590,013,000.39
  5. Step 5: Solve for x
    x = 83,590,013,000.39/184,548.38
  6. Step 6: Final answer
    x = 452,943.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.