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Finding the Third Proportional to 116,683.50 and 238,294.50

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Solution

The third proportional to 116,683.50 and 238,294.50 is: 486,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,683.50 : 238,294.50 = 238,294.50 : x
  2. Step 2: Convert to fraction form
    116,683.50/238,294.50 = 238,294.50/x
  3. Step 3: Cross multiply
    116,683.50x = 238,294.50 × 238,294.50
  4. Step 4: Simplify right side
    116,683.50x = 56,784,268,730.25
  5. Step 5: Solve for x
    x = 56,784,268,730.25/116,683.50
  6. Step 6: Final answer
    x = 486,652.09

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.