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Finding the Third Proportional to 184,074 and 402,612

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Solution

The third proportional to 184,074 and 402,612 is: 880,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,074 : 402,612 = 402,612 : x
  2. Step 2: Convert to fraction form
    184,074/402,612 = 402,612/x
  3. Step 3: Cross multiply
    184,074x = 402,612 × 402,612
  4. Step 4: Simplify right side
    184,074x = 162,096,422,544
  5. Step 5: Solve for x
    x = 162,096,422,544/184,074
  6. Step 6: Final answer
    x = 880,604.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.