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Finding the Third Proportional to 178,366 and 242,944

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Solution

The third proportional to 178,366 and 242,944 is: 330,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,366 : 242,944 = 242,944 : x
  2. Step 2: Convert to fraction form
    178,366/242,944 = 242,944/x
  3. Step 3: Cross multiply
    178,366x = 242,944 × 242,944
  4. Step 4: Simplify right side
    178,366x = 59,021,787,136
  5. Step 5: Solve for x
    x = 59,021,787,136/178,366
  6. Step 6: Final answer
    x = 330,902.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.