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Finding the Third Proportional to 116,617 and 184,367

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Solution

The third proportional to 116,617 and 184,367 is: 291,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,617 : 184,367 = 184,367 : x
  2. Step 2: Convert to fraction form
    116,617/184,367 = 184,367/x
  3. Step 3: Cross multiply
    116,617x = 184,367 × 184,367
  4. Step 4: Simplify right side
    116,617x = 33,991,190,689
  5. Step 5: Solve for x
    x = 33,991,190,689/116,617
  6. Step 6: Final answer
    x = 291,477.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.