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Finding the Third Proportional to 177,527 and 387,562

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Solution

The third proportional to 177,527 and 387,562 is: 846,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,527 : 387,562 = 387,562 : x
  2. Step 2: Convert to fraction form
    177,527/387,562 = 387,562/x
  3. Step 3: Cross multiply
    177,527x = 387,562 × 387,562
  4. Step 4: Simplify right side
    177,527x = 150,204,303,844
  5. Step 5: Solve for x
    x = 150,204,303,844/177,527
  6. Step 6: Final answer
    x = 846,092.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.