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Finding the Third Proportional to 174,141 and 379,993.50

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Solution

The third proportional to 174,141 and 379,993.50 is: 829,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,141 : 379,993.50 = 379,993.50 : x
  2. Step 2: Convert to fraction form
    174,141/379,993.50 = 379,993.50/x
  3. Step 3: Cross multiply
    174,141x = 379,993.50 × 379,993.50
  4. Step 4: Simplify right side
    174,141x = 144,395,060,042.25
  5. Step 5: Solve for x
    x = 144,395,060,042.25/174,141
  6. Step 6: Final answer
    x = 829,184.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.