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Finding the Third Proportional to 74,783.25 and 158,800.50

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Solution

The third proportional to 74,783.25 and 158,800.50 is: 337,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,783.25 : 158,800.50 = 158,800.50 : x
  2. Step 2: Convert to fraction form
    74,783.25/158,800.50 = 158,800.50/x
  3. Step 3: Cross multiply
    74,783.25x = 158,800.50 × 158,800.50
  4. Step 4: Simplify right side
    74,783.25x = 25,217,598,800.25
  5. Step 5: Solve for x
    x = 25,217,598,800.25/74,783.25
  6. Step 6: Final answer
    x = 337,209.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.