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Finding the Third Proportional to 120,328.13 and 184,969.50

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Solution

The third proportional to 120,328.13 and 184,969.50 is: 284,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,328.13 : 184,969.50 = 184,969.50 : x
  2. Step 2: Convert to fraction form
    120,328.13/184,969.50 = 184,969.50/x
  3. Step 3: Cross multiply
    120,328.13x = 184,969.50 × 184,969.50
  4. Step 4: Simplify right side
    120,328.13x = 34,213,715,930.25
  5. Step 5: Solve for x
    x = 34,213,715,930.25/120,328.13
  6. Step 6: Final answer
    x = 284,336.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.