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Finding the Third Proportional to 79,300 and 174,371.50

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Solution

The third proportional to 79,300 and 174,371.50 is: 383,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,300 : 174,371.50 = 174,371.50 : x
  2. Step 2: Convert to fraction form
    79,300/174,371.50 = 174,371.50/x
  3. Step 3: Cross multiply
    79,300x = 174,371.50 × 174,371.50
  4. Step 4: Simplify right side
    79,300x = 30,405,420,012.25
  5. Step 5: Solve for x
    x = 30,405,420,012.25/79,300
  6. Step 6: Final answer
    x = 383,422.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.