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Finding the Third Proportional to 192,820.50 and 296,563.50

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Solution

The third proportional to 192,820.50 and 296,563.50 is: 456,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,820.50 : 296,563.50 = 296,563.50 : x
  2. Step 2: Convert to fraction form
    192,820.50/296,563.50 = 296,563.50/x
  3. Step 3: Cross multiply
    192,820.50x = 296,563.50 × 296,563.50
  4. Step 4: Simplify right side
    192,820.50x = 87,949,909,532.25
  5. Step 5: Solve for x
    x = 87,949,909,532.25/192,820.50
  6. Step 6: Final answer
    x = 456,123.23

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