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Finding the Third Proportional to 184,394 and 284,780

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Solution

The third proportional to 184,394 and 284,780 is: 439,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,394 : 284,780 = 284,780 : x
  2. Step 2: Convert to fraction form
    184,394/284,780 = 284,780/x
  3. Step 3: Cross multiply
    184,394x = 284,780 × 284,780
  4. Step 4: Simplify right side
    184,394x = 81,099,648,400
  5. Step 5: Solve for x
    x = 81,099,648,400/184,394
  6. Step 6: Final answer
    x = 439,817.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.