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Finding the Third Proportional to 186,460 and 295,398

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Solution

The third proportional to 186,460 and 295,398 is: 467,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,460 : 295,398 = 295,398 : x
  2. Step 2: Convert to fraction form
    186,460/295,398 = 295,398/x
  3. Step 3: Cross multiply
    186,460x = 295,398 × 295,398
  4. Step 4: Simplify right side
    186,460x = 87,259,978,404
  5. Step 5: Solve for x
    x = 87,259,978,404/186,460
  6. Step 6: Final answer
    x = 467,982.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.