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Finding the Third Proportional to 161,035 and 349,818

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Solution

The third proportional to 161,035 and 349,818 is: 759,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,035 : 349,818 = 349,818 : x
  2. Step 2: Convert to fraction form
    161,035/349,818 = 349,818/x
  3. Step 3: Cross multiply
    161,035x = 349,818 × 349,818
  4. Step 4: Simplify right side
    161,035x = 122,372,633,124
  5. Step 5: Solve for x
    x = 122,372,633,124/161,035
  6. Step 6: Final answer
    x = 759,913.27

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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.