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Finding the Third Proportional to 184,410 and 278,310

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Solution

The third proportional to 184,410 and 278,310 is: 420,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,410 : 278,310 = 278,310 : x
  2. Step 2: Convert to fraction form
    184,410/278,310 = 278,310/x
  3. Step 3: Cross multiply
    184,410x = 278,310 × 278,310
  4. Step 4: Simplify right side
    184,410x = 77,456,456,100
  5. Step 5: Solve for x
    x = 77,456,456,100/184,410
  6. Step 6: Final answer
    x = 420,023.08

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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.