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Finding the Third Proportional to 184,609.13 and 276,606.14

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Solution

The third proportional to 184,609.13 and 276,606.14 is: 414,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,609.13 : 276,606.14 = 276,606.14 : x
  2. Step 2: Convert to fraction form
    184,609.13/276,606.14 = 276,606.14/x
  3. Step 3: Cross multiply
    184,609.13x = 276,606.14 × 276,606.14
  4. Step 4: Simplify right side
    184,609.13x = 76,510,957,031.46
  5. Step 5: Solve for x
    x = 76,510,957,031.46/184,609.13
  6. Step 6: Final answer
    x = 414,448.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.