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Finding the Third Proportional to 80,492.63 and 174,812.63

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Solution

The third proportional to 80,492.63 and 174,812.63 is: 379,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492.63 : 174,812.63 = 174,812.63 : x
  2. Step 2: Convert to fraction form
    80,492.63/174,812.63 = 174,812.63/x
  3. Step 3: Cross multiply
    80,492.63x = 174,812.63 × 174,812.63
  4. Step 4: Simplify right side
    80,492.63x = 30,559,453,859.39
  5. Step 5: Solve for x
    x = 30,559,453,859.39/80,492.63
  6. Step 6: Final answer
    x = 379,655.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.