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Finding the Third Proportional to 118,952 and 184,404

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Solution

The third proportional to 118,952 and 184,404 is: 285,870.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,952 : 184,404 = 184,404 : x
  2. Step 2: Convert to fraction form
    118,952/184,404 = 184,404/x
  3. Step 3: Cross multiply
    118,952x = 184,404 × 184,404
  4. Step 4: Simplify right side
    118,952x = 34,004,835,216
  5. Step 5: Solve for x
    x = 34,004,835,216/118,952
  6. Step 6: Final answer
    x = 285,870.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.