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Finding the Third Proportional to 184,815 and 278,262

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Solution

The third proportional to 184,815 and 278,262 is: 418,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,815 : 278,262 = 278,262 : x
  2. Step 2: Convert to fraction form
    184,815/278,262 = 278,262/x
  3. Step 3: Cross multiply
    184,815x = 278,262 × 278,262
  4. Step 4: Simplify right side
    184,815x = 77,429,740,644
  5. Step 5: Solve for x
    x = 77,429,740,644/184,815
  6. Step 6: Final answer
    x = 418,958.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.