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Finding the Third Proportional to 233,309 and 350,147

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Solution

The third proportional to 233,309 and 350,147 is: 525,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,309 : 350,147 = 350,147 : x
  2. Step 2: Convert to fraction form
    233,309/350,147 = 350,147/x
  3. Step 3: Cross multiply
    233,309x = 350,147 × 350,147
  4. Step 4: Simplify right side
    233,309x = 122,602,921,609
  5. Step 5: Solve for x
    x = 122,602,921,609/233,309
  6. Step 6: Final answer
    x = 525,495.89

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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.