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Finding the Third Proportional to 161,348 and 225,678

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Solution

The third proportional to 161,348 and 225,678 is: 315,656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,348 : 225,678 = 225,678 : x
  2. Step 2: Convert to fraction form
    161,348/225,678 = 225,678/x
  3. Step 3: Cross multiply
    161,348x = 225,678 × 225,678
  4. Step 4: Simplify right side
    161,348x = 50,930,559,684
  5. Step 5: Solve for x
    x = 50,930,559,684/161,348
  6. Step 6: Final answer
    x = 315,656.59

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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.