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Finding the Third Proportional to 181,094.50 and 393,354

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Solution

The third proportional to 181,094.50 and 393,354 is: 854,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,094.50 : 393,354 = 393,354 : x
  2. Step 2: Convert to fraction form
    181,094.50/393,354 = 393,354/x
  3. Step 3: Cross multiply
    181,094.50x = 393,354 × 393,354
  4. Step 4: Simplify right side
    181,094.50x = 154,727,369,316
  5. Step 5: Solve for x
    x = 154,727,369,316/181,094.50
  6. Step 6: Final answer
    x = 854,401.26

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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.