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Finding the Third Proportional to 119,194.50 and 185,832

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Solution

The third proportional to 119,194.50 and 185,832 is: 289,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,194.50 : 185,832 = 185,832 : x
  2. Step 2: Convert to fraction form
    119,194.50/185,832 = 185,832/x
  3. Step 3: Cross multiply
    119,194.50x = 185,832 × 185,832
  4. Step 4: Simplify right side
    119,194.50x = 34,533,532,224
  5. Step 5: Solve for x
    x = 34,533,532,224/119,194.50
  6. Step 6: Final answer
    x = 289,724.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.