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Finding the Third Proportional to 182,783.25 and 427,069.50

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Solution

The third proportional to 182,783.25 and 427,069.50 is: 997,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,783.25 : 427,069.50 = 427,069.50 : x
  2. Step 2: Convert to fraction form
    182,783.25/427,069.50 = 427,069.50/x
  3. Step 3: Cross multiply
    182,783.25x = 427,069.50 × 427,069.50
  4. Step 4: Simplify right side
    182,783.25x = 182,388,357,830.25
  5. Step 5: Solve for x
    x = 182,388,357,830.25/182,783.25
  6. Step 6: Final answer
    x = 997,839.56

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.