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Finding the Third Proportional to 190,219.50 and 449,848.50

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Solution

The third proportional to 190,219.50 and 449,848.50 is: 1,063,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,219.50 : 449,848.50 = 449,848.50 : x
  2. Step 2: Convert to fraction form
    190,219.50/449,848.50 = 449,848.50/x
  3. Step 3: Cross multiply
    190,219.50x = 449,848.50 × 449,848.50
  4. Step 4: Simplify right side
    190,219.50x = 202,363,672,952.25
  5. Step 5: Solve for x
    x = 202,363,672,952.25/190,219.50
  6. Step 6: Final answer
    x = 1,063,842.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.