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Finding the Third Proportional to 116,287.50 and 184,455

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Solution

The third proportional to 116,287.50 and 184,455 is: 292,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,287.50 : 184,455 = 184,455 : x
  2. Step 2: Convert to fraction form
    116,287.50/184,455 = 184,455/x
  3. Step 3: Cross multiply
    116,287.50x = 184,455 × 184,455
  4. Step 4: Simplify right side
    116,287.50x = 34,023,647,025
  5. Step 5: Solve for x
    x = 34,023,647,025/116,287.50
  6. Step 6: Final answer
    x = 292,582.15

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