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Finding the Third Proportional to 175,048 and 356,513

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Solution

The third proportional to 175,048 and 356,513 is: 726,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,048 : 356,513 = 356,513 : x
  2. Step 2: Convert to fraction form
    175,048/356,513 = 356,513/x
  3. Step 3: Cross multiply
    175,048x = 356,513 × 356,513
  4. Step 4: Simplify right side
    175,048x = 127,101,519,169
  5. Step 5: Solve for x
    x = 127,101,519,169/175,048
  6. Step 6: Final answer
    x = 726,095.24

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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.