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Finding the Third Proportional to 233,663.50 and 350,103

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Solution

The third proportional to 233,663.50 and 350,103 is: 524,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,663.50 : 350,103 = 350,103 : x
  2. Step 2: Convert to fraction form
    233,663.50/350,103 = 350,103/x
  3. Step 3: Cross multiply
    233,663.50x = 350,103 × 350,103
  4. Step 4: Simplify right side
    233,663.50x = 122,572,110,609
  5. Step 5: Solve for x
    x = 122,572,110,609/233,663.50
  6. Step 6: Final answer
    x = 524,566.78

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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.