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Finding the Third Proportional to 115,946 and 184,433

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Solution

The third proportional to 115,946 and 184,433 is: 293,373.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,946 : 184,433 = 184,433 : x
  2. Step 2: Convert to fraction form
    115,946/184,433 = 184,433/x
  3. Step 3: Cross multiply
    115,946x = 184,433 × 184,433
  4. Step 4: Simplify right side
    115,946x = 34,015,531,489
  5. Step 5: Solve for x
    x = 34,015,531,489/115,946
  6. Step 6: Final answer
    x = 293,373.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.