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Finding the Third Proportional to 116,410.50 and 184,639.50

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Solution

The third proportional to 116,410.50 and 184,639.50 is: 292,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,410.50 : 184,639.50 = 184,639.50 : x
  2. Step 2: Convert to fraction form
    116,410.50/184,639.50 = 184,639.50/x
  3. Step 3: Cross multiply
    116,410.50x = 184,639.50 × 184,639.50
  4. Step 4: Simplify right side
    116,410.50x = 34,091,744,960.25
  5. Step 5: Solve for x
    x = 34,091,744,960.25/116,410.50
  6. Step 6: Final answer
    x = 292,857.99

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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.