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Finding the Third Proportional to 184,569 and 282,948

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Solution

The third proportional to 184,569 and 282,948 is: 433,764.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,569 : 282,948 = 282,948 : x
  2. Step 2: Convert to fraction form
    184,569/282,948 = 282,948/x
  3. Step 3: Cross multiply
    184,569x = 282,948 × 282,948
  4. Step 4: Simplify right side
    184,569x = 80,059,570,704
  5. Step 5: Solve for x
    x = 80,059,570,704/184,569
  6. Step 6: Final answer
    x = 433,764.99

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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.