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Finding the Third Proportional to 184,338 and 281,421

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Solution

The third proportional to 184,338 and 281,421 is: 429,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,338 : 281,421 = 281,421 : x
  2. Step 2: Convert to fraction form
    184,338/281,421 = 281,421/x
  3. Step 3: Cross multiply
    184,338x = 281,421 × 281,421
  4. Step 4: Simplify right side
    184,338x = 79,197,779,241
  5. Step 5: Solve for x
    x = 79,197,779,241/184,338
  6. Step 6: Final answer
    x = 429,633.50

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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.