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Finding the Third Proportional to 75,468 and 170,398

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Solution

The third proportional to 75,468 and 170,398 is: 384,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,468 : 170,398 = 170,398 : x
  2. Step 2: Convert to fraction form
    75,468/170,398 = 170,398/x
  3. Step 3: Cross multiply
    75,468x = 170,398 × 170,398
  4. Step 4: Simplify right side
    75,468x = 29,035,478,404
  5. Step 5: Solve for x
    x = 29,035,478,404/75,468
  6. Step 6: Final answer
    x = 384,738.94

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.