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Finding the Third Proportional to 184,440 and 282,015

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Solution

The third proportional to 184,440 and 282,015 is: 431,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,440 : 282,015 = 282,015 : x
  2. Step 2: Convert to fraction form
    184,440/282,015 = 282,015/x
  3. Step 3: Cross multiply
    184,440x = 282,015 × 282,015
  4. Step 4: Simplify right side
    184,440x = 79,532,460,225
  5. Step 5: Solve for x
    x = 79,532,460,225/184,440
  6. Step 6: Final answer
    x = 431,210.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.