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Finding the Third Proportional to 184,390.59 and 278,282.04

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Solution

The third proportional to 184,390.59 and 278,282.04 is: 419,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,390.59 : 278,282.04 = 278,282.04 : x
  2. Step 2: Convert to fraction form
    184,390.59/278,282.04 = 278,282.04/x
  3. Step 3: Cross multiply
    184,390.59x = 278,282.04 × 278,282.04
  4. Step 4: Simplify right side
    184,390.59x = 77,440,893,264.78
  5. Step 5: Solve for x
    x = 77,440,893,264.78/184,390.59
  6. Step 6: Final answer
    x = 419,982.88

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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.