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Finding the Third Proportional to 80,320.78 and 174,490.03

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Solution

The third proportional to 80,320.78 and 174,490.03 is: 379,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,320.78 : 174,490.03 = 174,490.03 : x
  2. Step 2: Convert to fraction form
    80,320.78/174,490.03 = 174,490.03/x
  3. Step 3: Cross multiply
    80,320.78x = 174,490.03 × 174,490.03
  4. Step 4: Simplify right side
    80,320.78x = 30,446,771,005.63
  5. Step 5: Solve for x
    x = 30,446,771,005.63/80,320.78
  6. Step 6: Final answer
    x = 379,064.68

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