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Finding the Third Proportional to 177,308 and 379,526

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Solution

The third proportional to 177,308 and 379,526 is: 812,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,308 : 379,526 = 379,526 : x
  2. Step 2: Convert to fraction form
    177,308/379,526 = 379,526/x
  3. Step 3: Cross multiply
    177,308x = 379,526 × 379,526
  4. Step 4: Simplify right side
    177,308x = 144,039,984,676
  5. Step 5: Solve for x
    x = 144,039,984,676/177,308
  6. Step 6: Final answer
    x = 812,371.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.