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Finding the Third Proportional to 179,962 and 393,822.50

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Solution

The third proportional to 179,962 and 393,822.50 is: 861,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,962 : 393,822.50 = 393,822.50 : x
  2. Step 2: Convert to fraction form
    179,962/393,822.50 = 393,822.50/x
  3. Step 3: Cross multiply
    179,962x = 393,822.50 × 393,822.50
  4. Step 4: Simplify right side
    179,962x = 155,096,161,506.25
  5. Step 5: Solve for x
    x = 155,096,161,506.25/179,962
  6. Step 6: Final answer
    x = 861,827.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.