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Finding the Third Proportional to 184,410 and 278,306

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Solution

The third proportional to 184,410 and 278,306 is: 420,011.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,410 : 278,306 = 278,306 : x
  2. Step 2: Convert to fraction form
    184,410/278,306 = 278,306/x
  3. Step 3: Cross multiply
    184,410x = 278,306 × 278,306
  4. Step 4: Simplify right side
    184,410x = 77,454,229,636
  5. Step 5: Solve for x
    x = 77,454,229,636/184,410
  6. Step 6: Final answer
    x = 420,011.01

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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.