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Finding the Third Proportional to 157,045.50 and 250,136.44

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Solution

The third proportional to 157,045.50 and 250,136.44 is: 398,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,045.50 : 250,136.44 = 250,136.44 : x
  2. Step 2: Convert to fraction form
    157,045.50/250,136.44 = 250,136.44/x
  3. Step 3: Cross multiply
    157,045.50x = 250,136.44 × 250,136.44
  4. Step 4: Simplify right side
    157,045.50x = 62,568,237,365.19
  5. Step 5: Solve for x
    x = 62,568,237,365.19/157,045.50
  6. Step 6: Final answer
    x = 398,408.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.