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Finding the Third Proportional to 109,327.50 and 239,580

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Solution

The third proportional to 109,327.50 and 239,580 is: 525,014.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,327.50 : 239,580 = 239,580 : x
  2. Step 2: Convert to fraction form
    109,327.50/239,580 = 239,580/x
  3. Step 3: Cross multiply
    109,327.50x = 239,580 × 239,580
  4. Step 4: Simplify right side
    109,327.50x = 57,398,576,400
  5. Step 5: Solve for x
    x = 57,398,576,400/109,327.50
  6. Step 6: Final answer
    x = 525,014.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.