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Finding the Third Proportional to 161,043.19 and 247,639.78

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Solution

The third proportional to 161,043.19 and 247,639.78 is: 380,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,043.19 : 247,639.78 = 247,639.78 : x
  2. Step 2: Convert to fraction form
    161,043.19/247,639.78 = 247,639.78/x
  3. Step 3: Cross multiply
    161,043.19x = 247,639.78 × 247,639.78
  4. Step 4: Simplify right side
    161,043.19x = 61,325,461,257.55
  5. Step 5: Solve for x
    x = 61,325,461,257.55/161,043.19
  6. Step 6: Final answer
    x = 380,801.34

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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.