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Finding the Third Proportional to 225,706.50 and 350,614.13

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Solution

The third proportional to 225,706.50 and 350,614.13 is: 544,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,706.50 : 350,614.13 = 350,614.13 : x
  2. Step 2: Convert to fraction form
    225,706.50/350,614.13 = 350,614.13/x
  3. Step 3: Cross multiply
    225,706.50x = 350,614.13 × 350,614.13
  4. Step 4: Simplify right side
    225,706.50x = 122,930,264,649.52
  5. Step 5: Solve for x
    x = 122,930,264,649.52/225,706.50
  6. Step 6: Final answer
    x = 544,646.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.