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Finding the Third Proportional to 175,073 and 356,558

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Solution

The third proportional to 175,073 and 356,558 is: 726,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,073 : 356,558 = 356,558 : x
  2. Step 2: Convert to fraction form
    175,073/356,558 = 356,558/x
  3. Step 3: Cross multiply
    175,073x = 356,558 × 356,558
  4. Step 4: Simplify right side
    175,073x = 127,133,607,364
  5. Step 5: Solve for x
    x = 127,133,607,364/175,073
  6. Step 6: Final answer
    x = 726,174.84

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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.