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Finding the Third Proportional to 115,952 and 184,446

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Solution

The third proportional to 115,952 and 184,446 is: 293,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,952 : 184,446 = 184,446 : x
  2. Step 2: Convert to fraction form
    115,952/184,446 = 184,446/x
  3. Step 3: Cross multiply
    115,952x = 184,446 × 184,446
  4. Step 4: Simplify right side
    115,952x = 34,020,326,916
  5. Step 5: Solve for x
    x = 34,020,326,916/115,952
  6. Step 6: Final answer
    x = 293,400.09

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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.