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Finding the Third Proportional to 175,046 and 356,509

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Solution

The third proportional to 175,046 and 356,509 is: 726,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,046 : 356,509 = 356,509 : x
  2. Step 2: Convert to fraction form
    175,046/356,509 = 356,509/x
  3. Step 3: Cross multiply
    175,046x = 356,509 × 356,509
  4. Step 4: Simplify right side
    175,046x = 127,098,667,081
  5. Step 5: Solve for x
    x = 127,098,667,081/175,046
  6. Step 6: Final answer
    x = 726,087.24

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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.