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Finding the Third Proportional to 131,865 and 209,650.50

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Solution

The third proportional to 131,865 and 209,650.50 is: 333,320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,865 : 209,650.50 = 209,650.50 : x
  2. Step 2: Convert to fraction form
    131,865/209,650.50 = 209,650.50/x
  3. Step 3: Cross multiply
    131,865x = 209,650.50 × 209,650.50
  4. Step 4: Simplify right side
    131,865x = 43,953,332,150.25
  5. Step 5: Solve for x
    x = 43,953,332,150.25/131,865
  6. Step 6: Final answer
    x = 333,320.69

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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.