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Finding the Third Proportional to 79,708.50 and 174,240

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Solution

The third proportional to 79,708.50 and 174,240 is: 380,882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,708.50 : 174,240 = 174,240 : x
  2. Step 2: Convert to fraction form
    79,708.50/174,240 = 174,240/x
  3. Step 3: Cross multiply
    79,708.50x = 174,240 × 174,240
  4. Step 4: Simplify right side
    79,708.50x = 30,359,577,600
  5. Step 5: Solve for x
    x = 30,359,577,600/79,708.50
  6. Step 6: Final answer
    x = 380,882.56

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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.