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Finding the Third Proportional to 161,032 and 349,738

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Solution

The third proportional to 161,032 and 349,738 is: 759,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,032 : 349,738 = 349,738 : x
  2. Step 2: Convert to fraction form
    161,032/349,738 = 349,738/x
  3. Step 3: Cross multiply
    161,032x = 349,738 × 349,738
  4. Step 4: Simplify right side
    161,032x = 122,316,668,644
  5. Step 5: Solve for x
    x = 122,316,668,644/161,032
  6. Step 6: Final answer
    x = 759,579.89

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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.