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Finding the Third Proportional to 175,063 and 356,543

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Solution

The third proportional to 175,063 and 356,543 is: 726,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,063 : 356,543 = 356,543 : x
  2. Step 2: Convert to fraction form
    175,063/356,543 = 356,543/x
  3. Step 3: Cross multiply
    175,063x = 356,543 × 356,543
  4. Step 4: Simplify right side
    175,063x = 127,122,910,849
  5. Step 5: Solve for x
    x = 127,122,910,849/175,063
  6. Step 6: Final answer
    x = 726,155.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.