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Finding the Third Proportional to 178,524 and 379,944

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Solution

The third proportional to 178,524 and 379,944 is: 808,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,524 : 379,944 = 379,944 : x
  2. Step 2: Convert to fraction form
    178,524/379,944 = 379,944/x
  3. Step 3: Cross multiply
    178,524x = 379,944 × 379,944
  4. Step 4: Simplify right side
    178,524x = 144,357,443,136
  5. Step 5: Solve for x
    x = 144,357,443,136/178,524
  6. Step 6: Final answer
    x = 808,616.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.