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Finding the Third Proportional to 233,136.56 and 350,569.69

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Solution

The third proportional to 233,136.56 and 350,569.69 is: 527,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,136.56 : 350,569.69 = 350,569.69 : x
  2. Step 2: Convert to fraction form
    233,136.56/350,569.69 = 350,569.69/x
  3. Step 3: Cross multiply
    233,136.56x = 350,569.69 × 350,569.69
  4. Step 4: Simplify right side
    233,136.56x = 122,899,105,793.85
  5. Step 5: Solve for x
    x = 122,899,105,793.85/233,136.56
  6. Step 6: Final answer
    x = 527,155.01

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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.