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Finding the Third Proportional to 184,566 and 289,143

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Solution

The third proportional to 184,566 and 289,143 is: 452,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,566 : 289,143 = 289,143 : x
  2. Step 2: Convert to fraction form
    184,566/289,143 = 289,143/x
  3. Step 3: Cross multiply
    184,566x = 289,143 × 289,143
  4. Step 4: Simplify right side
    184,566x = 83,603,674,449
  5. Step 5: Solve for x
    x = 83,603,674,449/184,566
  6. Step 6: Final answer
    x = 452,974.41

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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.