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Finding the Third Proportional to 175,055.50 and 356,529

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Solution

The third proportional to 175,055.50 and 356,529 is: 726,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,055.50 : 356,529 = 356,529 : x
  2. Step 2: Convert to fraction form
    175,055.50/356,529 = 356,529/x
  3. Step 3: Cross multiply
    175,055.50x = 356,529 × 356,529
  4. Step 4: Simplify right side
    175,055.50x = 127,112,927,841
  5. Step 5: Solve for x
    x = 127,112,927,841/175,055.50
  6. Step 6: Final answer
    x = 726,129.30

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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.