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Finding the Third Proportional to 184,475 and 282,065

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Solution

The third proportional to 184,475 and 282,065 is: 431,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,475 : 282,065 = 282,065 : x
  2. Step 2: Convert to fraction form
    184,475/282,065 = 282,065/x
  3. Step 3: Cross multiply
    184,475x = 282,065 × 282,065
  4. Step 4: Simplify right side
    184,475x = 79,560,664,225
  5. Step 5: Solve for x
    x = 79,560,664,225/184,475
  6. Step 6: Final answer
    x = 431,281.55

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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.