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Finding the Third Proportional to 161,033.25 and 349,814.13

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Solution

The third proportional to 161,033.25 and 349,814.13 is: 759,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,033.25 : 349,814.13 = 349,814.13 : x
  2. Step 2: Convert to fraction form
    161,033.25/349,814.13 = 349,814.13/x
  3. Step 3: Cross multiply
    161,033.25x = 349,814.13 × 349,814.13
  4. Step 4: Simplify right side
    161,033.25x = 122,369,922,049.52
  5. Step 5: Solve for x
    x = 122,369,922,049.52/161,033.25
  6. Step 6: Final answer
    x = 759,904.69

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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.