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Finding the Third Proportional to 184,581 and 289,167.75

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Solution

The third proportional to 184,581 and 289,167.75 is: 453,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,581 : 289,167.75 = 289,167.75 : x
  2. Step 2: Convert to fraction form
    184,581/289,167.75 = 289,167.75/x
  3. Step 3: Cross multiply
    184,581x = 289,167.75 × 289,167.75
  4. Step 4: Simplify right side
    184,581x = 83,617,987,640.06
  5. Step 5: Solve for x
    x = 83,617,987,640.06/184,581
  6. Step 6: Final answer
    x = 453,015.14

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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.