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Finding the Third Proportional to 184,543 and 289,115

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Solution

The third proportional to 184,543 and 289,115 is: 452,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,543 : 289,115 = 289,115 : x
  2. Step 2: Convert to fraction form
    184,543/289,115 = 289,115/x
  3. Step 3: Cross multiply
    184,543x = 289,115 × 289,115
  4. Step 4: Simplify right side
    184,543x = 83,587,483,225
  5. Step 5: Solve for x
    x = 83,587,483,225/184,543
  6. Step 6: Final answer
    x = 452,943.13

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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.