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Finding the Third Proportional to 191,659.75 and 280,518.50

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Solution

The third proportional to 191,659.75 and 280,518.50 is: 410,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,659.75 : 280,518.50 = 280,518.50 : x
  2. Step 2: Convert to fraction form
    191,659.75/280,518.50 = 280,518.50/x
  3. Step 3: Cross multiply
    191,659.75x = 280,518.50 × 280,518.50
  4. Step 4: Simplify right side
    191,659.75x = 78,690,628,842.25
  5. Step 5: Solve for x
    x = 78,690,628,842.25/191,659.75
  6. Step 6: Final answer
    x = 410,574.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.