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Finding the Third Proportional to 161,339 and 250,635

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Solution

The third proportional to 161,339 and 250,635 is: 389,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,339 : 250,635 = 250,635 : x
  2. Step 2: Convert to fraction form
    161,339/250,635 = 250,635/x
  3. Step 3: Cross multiply
    161,339x = 250,635 × 250,635
  4. Step 4: Simplify right side
    161,339x = 62,817,903,225
  5. Step 5: Solve for x
    x = 62,817,903,225/161,339
  6. Step 6: Final answer
    x = 389,353.49

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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.