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Finding the Third Proportional to 161,509 and 226,323

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Solution

The third proportional to 161,509 and 226,323 is: 317,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,509 : 226,323 = 226,323 : x
  2. Step 2: Convert to fraction form
    161,509/226,323 = 226,323/x
  3. Step 3: Cross multiply
    161,509x = 226,323 × 226,323
  4. Step 4: Simplify right side
    161,509x = 51,222,100,329
  5. Step 5: Solve for x
    x = 51,222,100,329/161,509
  6. Step 6: Final answer
    x = 317,147.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.