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Finding the Third Proportional to 161,012.25 and 349,710.75

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Solution

The third proportional to 161,012.25 and 349,710.75 is: 759,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,012.25 : 349,710.75 = 349,710.75 : x
  2. Step 2: Convert to fraction form
    161,012.25/349,710.75 = 349,710.75/x
  3. Step 3: Cross multiply
    161,012.25x = 349,710.75 × 349,710.75
  4. Step 4: Simplify right side
    161,012.25x = 122,297,608,665.56
  5. Step 5: Solve for x
    x = 122,297,608,665.56/161,012.25
  6. Step 6: Final answer
    x = 759,554.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.