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Finding the Third Proportional to 161,234 and 350,164

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Solution

The third proportional to 161,234 and 350,164 is: 760,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,234 : 350,164 = 350,164 : x
  2. Step 2: Convert to fraction form
    161,234/350,164 = 350,164/x
  3. Step 3: Cross multiply
    161,234x = 350,164 × 350,164
  4. Step 4: Simplify right side
    161,234x = 122,614,826,896
  5. Step 5: Solve for x
    x = 122,614,826,896/161,234
  6. Step 6: Final answer
    x = 760,477.49

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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.