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Finding the Third Proportional to 178,849.50 and 379,022

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Solution

The third proportional to 178,849.50 and 379,022 is: 803,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,849.50 : 379,022 = 379,022 : x
  2. Step 2: Convert to fraction form
    178,849.50/379,022 = 379,022/x
  3. Step 3: Cross multiply
    178,849.50x = 379,022 × 379,022
  4. Step 4: Simplify right side
    178,849.50x = 143,657,676,484
  5. Step 5: Solve for x
    x = 143,657,676,484/178,849.50
  6. Step 6: Final answer
    x = 803,232.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.