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Finding the Third Proportional to 115,441 and 184,416

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Solution

The third proportional to 115,441 and 184,416 is: 294,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,441 : 184,416 = 184,416 : x
  2. Step 2: Convert to fraction form
    115,441/184,416 = 184,416/x
  3. Step 3: Cross multiply
    115,441x = 184,416 × 184,416
  4. Step 4: Simplify right side
    115,441x = 34,009,261,056
  5. Step 5: Solve for x
    x = 34,009,261,056/115,441
  6. Step 6: Final answer
    x = 294,602.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.