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Finding the Third Proportional to 233,676 and 350,127

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Solution

The third proportional to 233,676 and 350,127 is: 524,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,676 : 350,127 = 350,127 : x
  2. Step 2: Convert to fraction form
    233,676/350,127 = 350,127/x
  3. Step 3: Cross multiply
    233,676x = 350,127 × 350,127
  4. Step 4: Simplify right side
    233,676x = 122,588,916,129
  5. Step 5: Solve for x
    x = 122,588,916,129/233,676
  6. Step 6: Final answer
    x = 524,610.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.