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Finding the Third Proportional to 184,479 and 278,008.50

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Solution

The third proportional to 184,479 and 278,008.50 is: 418,956.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,479 : 278,008.50 = 278,008.50 : x
  2. Step 2: Convert to fraction form
    184,479/278,008.50 = 278,008.50/x
  3. Step 3: Cross multiply
    184,479x = 278,008.50 × 278,008.50
  4. Step 4: Simplify right side
    184,479x = 77,288,726,072.25
  5. Step 5: Solve for x
    x = 77,288,726,072.25/184,479
  6. Step 6: Final answer
    x = 418,956.77

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