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Finding the Third Proportional to 79,298.50 and 174,369

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Solution

The third proportional to 79,298.50 and 174,369 is: 383,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,298.50 : 174,369 = 174,369 : x
  2. Step 2: Convert to fraction form
    79,298.50/174,369 = 174,369/x
  3. Step 3: Cross multiply
    79,298.50x = 174,369 × 174,369
  4. Step 4: Simplify right side
    79,298.50x = 30,404,548,161
  5. Step 5: Solve for x
    x = 30,404,548,161/79,298.50
  6. Step 6: Final answer
    x = 383,418.96

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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.