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Finding the Third Proportional to 176,072 and 379,522

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Solution

The third proportional to 176,072 and 379,522 is: 818,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,072 : 379,522 = 379,522 : x
  2. Step 2: Convert to fraction form
    176,072/379,522 = 379,522/x
  3. Step 3: Cross multiply
    176,072x = 379,522 × 379,522
  4. Step 4: Simplify right side
    176,072x = 144,036,948,484
  5. Step 5: Solve for x
    x = 144,036,948,484/176,072
  6. Step 6: Final answer
    x = 818,057.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.