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Finding the Third Proportional to 182,574 and 395,968.50

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Solution

The third proportional to 182,574 and 395,968.50 is: 858,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,574 : 395,968.50 = 395,968.50 : x
  2. Step 2: Convert to fraction form
    182,574/395,968.50 = 395,968.50/x
  3. Step 3: Cross multiply
    182,574x = 395,968.50 × 395,968.50
  4. Step 4: Simplify right side
    182,574x = 156,791,052,992.25
  5. Step 5: Solve for x
    x = 156,791,052,992.25/182,574
  6. Step 6: Final answer
    x = 858,780.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.